संख्या रेखा पर \( \sqrt{2}+\sqrt{8} \) का सरल रूप कौन सा है?
What is the simplified form of \( \sqrt{2}+\sqrt{8} \) on the number line?
#number-line
#radical-simplification
#addition
A \(3\sqrt{2}\)
B \( \sqrt{10} \)
C \(2\sqrt{10}\)
D \(4\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(3\sqrt{2}\)
Step 1
Concept
\( \sqrt{8}=2\sqrt{2} \), so \( \sqrt{2}+\sqrt{8}=3\sqrt{2} \). Only like radicals can be added.
Step 2
Why this answer is correct
The correct answer is A. \(3\sqrt{2}\). \( \sqrt{8}=2\sqrt{2} \), so \( \sqrt{2}+\sqrt{8}=3\sqrt{2} \). Only like radicals can be added.
Step 3
Exam Tip
\( \sqrt{8}=2\sqrt{2} \), इसलिए \( \sqrt{2}+\sqrt{8}=3\sqrt{2} \)। समान मूलों को ही जोड़ा जाता है।
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यदि (P) संख्या रेखा पर \( \sqrt{49}+\sqrt{16} \) पर है, तो (P) का निर्देशांक क्या है?
If (P) is at \( \sqrt{49}+\sqrt{16} \) on the number line, what is the coordinate of (P)?
#number-line
#exact-roots
#addition
A (11)
B (13)
C (9)
D (65)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{49}=7 \) and \( \sqrt{16}=4 \), so the sum is (11). Find each square root first.
Step 2
Why this answer is correct
The correct answer is A. (11). \( \sqrt{49}=7 \) and \( \sqrt{16}=4 \), so the sum is (11). Find each square root first.
Step 3
Exam Tip
\( \sqrt{49}=7 \) और \( \sqrt{16}=4 \), इसलिए योग (11) है। पहले अलग-अलग वर्गमूल निकालें।
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संख्या रेखा पर \(2+\sqrt{5}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(2+\sqrt{5}\) lie on the number line?
#number-line
#irrational-numbers
#addition
#estimation
A (2) और (3) / (2) and (3)
B (3) और (4) / (3) and (4)
C (4) और (5) / (4) and (5)
D (5) और (6) / (5) and (6)
Explanation opens after your attempt
Correct Answer
C. (4) और (5) / (4) and (5)
Step 1
Concept
\(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 2
Why this answer is correct
The correct answer is C. (4) और (5) / (4) and (5). \(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 3
Exam Tip
\(\sqrt{5}\approx2.24\), इसलिए \(2+\sqrt{5}\approx4.24\) है। यह (4) और (5) के बीच आता है।
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संख्या रेखा पर (2) से दाईं ओर (3) इकाई चलने पर कौन-सा बिंदु मिलेगा?
Which point is reached by moving (3) units to the right from (2) on the number line?
#movement-right
#addition
#number-line
A (5)
B -(1)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
Moving (3) units right from (2) gives (2+3=5). The value increases when moving right.
Step 2
Why this answer is correct
The correct answer is A. (5). Moving (3) units right from (2) gives (2+3=5). The value increases when moving right.
Step 3
Exam Tip
(2) से दाईं ओर (3) इकाई चलने पर (2+3=5) मिलता है। दाईं ओर जाने पर मान बढ़ता है।
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संख्या रेखा पर (0) से दाईं ओर (5) इकाई चलने पर कौन-सा बिंदु मिलेगा?
Which point is reached by moving (5) units to the right from (0) on the number line?
#movement-right
#number-line
#addition
A (5)
B -(5)
C (0)
D (10)
Explanation opens after your attempt
Step 1
Concept
Moving (5) units right gives (0+5=5). Moving right is like addition.
Step 2
Why this answer is correct
The correct answer is A. (5). Moving (5) units right gives (0+5=5). Moving right is like addition.
Step 3
Exam Tip
दाईं ओर (5) इकाई चलने से (0+5=5) मिलता है। दाईं ओर चलना जोड़ने जैसा है।
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(p(x)=6x-5 -4x-2 +1) और (q(x)=-6x-5 +3x-4 +x-9) के योग की घात क्या है?
What is the degree of the sum of (p(x)=6x-5 -4x-2 +1) and (q(x)=-6x-5 +3x-4 +x-9)?
#degree
#cancellation
#addition
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 2
Why this answer is correct
The correct answer is C. (4). The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 3
Exam Tip
\(x^5\) के पद कट जाते हैं और सबसे बड़ी बची घात (4) है। जोड़ के बाद बहुपद की घात फिर से जांचें।
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(p(x)=5x-4 -3x-3 +2x-2 -x+8) और (q(x)=-2x-4 +7x-3 -5x-2 +4x-6) के योग में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in the sum of (p(x)=5x-4 -3x-3 +2x-2 -x+8) and (q(x)=-2x-4 +7x-3 -5x-2 +4x-6)?
#addition
#coefficient
#like terms
A (3)
B (4)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (4). The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^3\) के गुणांक (-3) और (7) हैं, इसलिए योग (4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=5x-4 -2x-2 +1) और (q(x)=-5x-4 +3x-3 +x-6) के योग की घात क्या है?
What is the degree of the sum of (p(x)=5x-4 -2x-2 +1) and (q(x)=-5x-4 +3x-3 +x-6)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात दोबारा जांचना जरूरी है।
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(p(x)=4x-3 -7x-2 +2x-5) और (q(x)=-x-3 +3x-2 -6x+9) के योग में (x) का गुणांक क्या है?
What is the coefficient of (x) in the sum of (p(x)=4x-3 -7x-2 +2x-5) and (q(x)=-x-3 +3x-2 -6x+9)?
#addition
#coefficient
#like terms
A (-8)
B (-4)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 2
Why this answer is correct
The correct answer is B. (-4). The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 3
Exam Tip
(x) के गुणांक (2) और (-6) हैं, इसलिए योग (-4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=4x-4 -3x-2 +2) और (q(x)=-4x-4 +5x-3 +x-8) के योग की घात क्या है?
What is the degree of the sum of (p(x)=4x-4 -3x-2 +2) and (q(x)=-4x-4 +5x-3 +x-8)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात फिर से जांचें।
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(p(x)=3x-3 -2x-2 +5x-1) और (q(x)=-x-3 +7x-2 -4x+6) के योग में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in the sum of (p(x)=3x-3 -2x-2 +5x-1) and (q(x)=-x-3 +7x-2 -4x+6)?
#addition
#coefficient
#like terms
A (3)
B (5)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (5). The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^2\) के गुणांक (-2) और (7) हैं, जिनका योग (5) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=4x-2 -9x+2) और (q(x)=3x-2 +x-7) का योग क्या है?
What is the sum of (p(x)=4x-2 -9x+2) and (q(x)=3x-2 +x-7)?
#addition
#like terms
#polynomials
A \(7x^2-8x-5\)
B \(x^2-10x+9\)
C \(7x^2+8x-5\)
D \(12x^4-9x-14\)
Explanation opens after your attempt
Correct Answer
A. \(7x^2-8x-5\)
Step 1
Concept
Adding like terms gives \(7x^2-8x-5\). Add only like terms.
Step 2
Why this answer is correct
The correct answer is A. \(7x^2-8x-5\). Adding like terms gives \(7x^2-8x-5\). Add only like terms.
Step 3
Exam Tip
समान घात वाले पद जोड़ने पर \(7x^2-8x-5\) मिलता है। केवल समान पदों को ही जोड़ें।
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(p(x)=3x-2 -4x+1) और (q(x)=x-2 +2x-5) का योग क्या है?
What is the sum of (p(x)=3x-2 -4x+1) and (q(x)=x-2 +2x-5)?
#addition
#like terms
#polynomials
A \(4x^2-2x-4\)
B \(2x^2-6x+6\)
C \(4x^2+6x-4\)
D \(3x^4-8x^2-5\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-2x-4\)
Step 1
Concept
Adding like terms gives \(4x^2-2x-4\). Combine only like terms.
Step 2
Why this answer is correct
The correct answer is A. \(4x^2-2x-4\). Adding like terms gives \(4x^2-2x-4\). Combine only like terms.
Step 3
Exam Tip
समान घात वाले पद जोड़ने पर \(4x^2-2x-4\) मिलता है। केवल समान पदों को मिलाएं।
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(\(4x^2-3x+6\)+\(-x^2+7x-9\)) का योग क्या है?
What is the sum of (\(4x^2-3x+6\)+\(-x^2+7x-9\))?
#polynomials
#addition
#like-terms
#operations
A \(,3x^2+4x-3,\)
B \(,5x^2+4x-3,\)
C \(,3x^2-10x+15,\)
D \(,3x^2+10x-3,\)
Explanation opens after your attempt
Correct Answer
A. \(,3x^2+4x-3,\)
Step 1
Concept
Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 2
Why this answer is correct
The correct answer is A. \(,3x^2+4x-3,\). Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 3
Exam Tip
समान पद जोड़ने पर \(4x^2-x^2=3x^2\), (-3x+7x=4x) और (6-9=-3) मिलता है। परीक्षा में like terms को अलग-अलग जोड़ें।
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(\(3x^2-2x+1\)+\(x^2+5x-4\)) का योग क्या है?
What is the sum of (\(3x^2-2x+1\)+\(x^2+5x-4\))?
#polynomials
#addition
#like-terms
#operations
A \(,4x^2+3x-3,\)
B \(,4x^2-7x+5,\)
C \(,2x^2+3x-3,\)
D \(,4x^2+7x-5,\)
Explanation opens after your attempt
Correct Answer
A. \(,4x^2+3x-3,\)
Step 1
Concept
Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 2
Why this answer is correct
The correct answer is A. \(,4x^2+3x-3,\). Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 3
Exam Tip
समान पद जोड़ने पर \(3x^2+x^2=4x^2\), (-2x+5x=3x) और (1-4=-3) होता है। परीक्षा में like terms को columns में जोड़ें।
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\(\dfrac{2^{10}+2^{10}}{2^9}\) का मान क्या होगा?
What is the value of \(\dfrac{2^{10}+2^{10}}{2^9}\)?
#polynomials
#exponents
#addition
#same-base
A (,4,)
B (,2,)
C (,8,)
D (,16,)
Explanation opens after your attempt
Step 1
Concept
The numerator is \(2^{10}+2^{10}=2\times 2^{10}=2^{11}\), so \(\dfrac{2^{11}}{2^9}=2^2=4\). In exams, first combine like terms and then apply exponent laws.
Step 2
Why this answer is correct
The correct answer is A. (,4,). The numerator is \(2^{10}+2^{10}=2\times 2^{10}=2^{11}\), so \(\dfrac{2^{11}}{2^9}=2^2=4\). In exams, first combine like terms and then apply exponent laws.
Step 3
Exam Tip
ऊपर \(2^{10}+2^{10}=2\times 2^{10}=2^{11}\), इसलिए \(\dfrac{2^{11}}{2^9}=2^2=4\)। परीक्षा में पहले समान terms को जोड़ें फिर घात नियम लगाएं।
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((3x+4)+(5x-9)) का सरल रूप क्या है?
What is the simplified form of ((3x+4)+(5x-9))?
#polynomials
#addition
#like terms
A (8x-5)
B (8x+13)
C (2x-5)
D (15x-5)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (3x+5x=8x) and (4-9=-5). So the answer is (8x-5).
Step 2
Why this answer is correct
The correct answer is A. (8x-5). Combining like terms gives (3x+5x=8x) and (4-9=-5). So the answer is (8x-5).
Step 3
Exam Tip
समान पद जोड़ने पर (3x+5x=8x) और (4-9=-5) है। इसलिए उत्तर (8x-5) है।
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((2x+3)+(4x-7)) का सरल रूप क्या है?
What is the simplified form of ((2x+3)+(4x-7))?
#polynomials
#addition
#like terms
A (6x-4)
B (6x+10)
C (2x-4)
D (8x-4)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (2x+4x=6x) and (3-7=-4). So the answer is (6x-4).
Step 2
Why this answer is correct
The correct answer is A. (6x-4). Combining like terms gives (2x+4x=6x) and (3-7=-4). So the answer is (6x-4).
Step 3
Exam Tip
समान पद जोड़ने पर (2x+4x=6x) और (3-7=-4) है। इसलिए उत्तर (6x-4) है।
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((x+2)+(3x-5)) का सरल रूप क्या है?
What is the simplified form of ((x+2)+(3x-5))?
#polynomials
#addition
#like terms
A (4x-3)
B (4x+7)
C (2x-3)
D (3x+3)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (x+3x=4x) and (2-5=-3). So the answer is (4x-3).
Step 2
Why this answer is correct
The correct answer is A. (4x-3). Combining like terms gives (x+3x=4x) and (2-5=-3). So the answer is (4x-3).
Step 3
Exam Tip
समान पद जोड़ने पर (x+3x=4x) और (2-5=-3) है। इसलिए उत्तर (4x-3) है।
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(12a+9a) का सरल रूप क्या है?
What is the simplified form of (12a+9a)?
#polynomials
#like terms
#addition
A (21a)
B (108a)
C \(21a^2\)
D (3a)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added, so (12a+9a=21a). The variable (a) does not change.
Step 2
Why this answer is correct
The correct answer is A. (21a). Coefficients of like terms are added, so (12a+9a=21a). The variable (a) does not change.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं इसलिए (12a+9a=21a)। चर (a) नहीं बदलता।
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यदि \(a\neq0\), \(b\neq0\) और \(c\neq0\) हैं तो \(a^0+b^0+c^0\) का मान क्या है?
If \(a\neq0\), \(b\neq0\), and \(c\neq0\), what is the value of \(a^0+b^0+c^0\)?
#polynomials
#zero exponent
#addition
A (1)
B (2)
C (3)
D (a+b+c)
Explanation opens after your attempt
Step 1
Concept
The zero power of every non-zero base is (1). Hence \(a^0+b^0+c^0=3\).
Step 2
Why this answer is correct
The correct answer is C. (3). The zero power of every non-zero base is (1). Hence \(a^0+b^0+c^0=3\).
Step 3
Exam Tip
हर अशून्य आधार की शून्य घात (1) होती है। इसलिए \(a^0+b^0+c^0=3\) है।
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(8a+6a) का सरल रूप क्या है?
What is the simplified form of (8a+6a)?
#polynomials
#like terms
#addition
A (14a)
B (48a)
C \(14a^2\)
D (2a)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added, so (8a+6a=14a). The variable (a) stays the same.
Step 2
Why this answer is correct
The correct answer is A. (14a). Coefficients of like terms are added, so (8a+6a=14a). The variable (a) stays the same.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं इसलिए (8a+6a=14a)। चर (a) वैसा ही रहता है।
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यदि \(u\neq0\) और \(v\neq0\) हैं तो \(u^0+v^0+2^0\) का मान क्या है?
If \(u\neq0\) and \(v\neq0\), what is the value of \(u^0+v^0+2^0\)?
#polynomials
#zero exponent
#addition
A (1)
B (2)
C (3)
D (u+v+2)
Explanation opens after your attempt
Step 1
Concept
The zero power of every non-zero base is (1). Hence \(u^0+v^0+2^0=3\).
Step 2
Why this answer is correct
The correct answer is C. (3). The zero power of every non-zero base is (1). Hence \(u^0+v^0+2^0=3\).
Step 3
Exam Tip
हर अशून्य आधार की शून्य घात (1) होती है। इसलिए \(u^0+v^0+2^0=3\) है।
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(3a+5a) का सरल रूप क्या है?
What is the simplified form of (3a+5a)?
#polynomials
#like terms
#addition
A (8a)
B (15a)
C \(8a^2\)
D (2a)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added, so (3a+5a=8a). Only terms with the same variable and same exponent combine directly.
Step 2
Why this answer is correct
The correct answer is A. (8a). Coefficients of like terms are added, so (3a+5a=8a). Only terms with the same variable and same exponent combine directly.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं इसलिए (3a+5a=8a)। समान चर और समान घात वाले पद ही सीधे जुड़ते हैं।
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कौन सा विकल्प \(\sqrt{5}+\sqrt{20}+\sqrt{45}+\sqrt{80}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{5}+\sqrt{20}+\sqrt{45}+\sqrt{80}\)?
#surds
#addition
#like-terms
A \(12\sqrt{5}\)
B \(10\sqrt{5}\)
C \(\sqrt{150}\)
D \(6\sqrt{10}\)
Explanation opens after your attempt
Correct Answer
A. \(12\sqrt{5}\)
Step 1
Concept
The terms become \(\sqrt{5}+2\sqrt{5}+3\sqrt{5}+4\sqrt{5}\). The total is \(10\sqrt{5}\), so check the options carefully.
Step 2
Why this answer is correct
The correct answer is A. \(12\sqrt{5}\). The terms become \(\sqrt{5}+2\sqrt{5}+3\sqrt{5}+4\sqrt{5}\). The total is \(10\sqrt{5}\), so check the options carefully.
Step 3
Exam Tip
ये पद \(\sqrt{5}+2\sqrt{5}+3\sqrt{5}+4\sqrt{5}\) बनते हैं। कुल \(10\sqrt{5}\) नहीं बल्कि \(10\sqrt{5}\) है, विकल्पों को ध्यान से जाँचें।
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कौन सा विकल्प \(\sqrt{3}+\sqrt{27}+\sqrt{75}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{3}+\sqrt{27}+\sqrt{75}\)?
#surds
#addition
#like-terms
A \(9\sqrt{3}\)
B \(6\sqrt{3}\)
C \(\sqrt{105}\)
D \(15\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(9\sqrt{3}\)
Step 1
Concept
\(\sqrt{27}=3\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). The total is \(9\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(9\sqrt{3}\). \(\sqrt{27}=3\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). The total is \(9\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{27}=3\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\) है। कुल \(9\sqrt{3}\) मिलता है।
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कौन सा विकल्प \(\frac{2}{5}+\sqrt{17}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\frac{2}{5}+\sqrt{17}\)?
#rational-irrational
#addition
#classification
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
\(\frac{2}{5}\) is rational and \(\sqrt{17}\) is irrational. Their sum is irrational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. \(\frac{2}{5}\) is rational and \(\sqrt{17}\) is irrational. Their sum is irrational.
Step 3
Exam Tip
\(\frac{2}{5}\) परिमेय है और \(\sqrt{17}\) अपरिमेय है। उनका योग अपरिमेय होता है।
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कौन सा विकल्प \(2\sqrt{3}+\sqrt{12}\) का सरल रूप है?
Which option is the simplified form of \(2\sqrt{3}+\sqrt{12}\)?
#surds
#addition
#simplification
A \(4\sqrt{3}\)
B \(3\sqrt{5}\)
C \(2\sqrt{15}\)
D \(6\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{3}\)
Step 1
Concept
\(\sqrt{12}=2\sqrt{3}\). So \(2\sqrt{3}+2\sqrt{3}=4\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\). So \(2\sqrt{3}+2\sqrt{3}=4\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{12}=2\sqrt{3}\) है। इसलिए \(2\sqrt{3}+2\sqrt{3}=4\sqrt{3}\) होगा।
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कौन सा विकल्प \(\sqrt{7}+\sqrt{63}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{7}+\sqrt{63}\)?
#surds
#addition
#like-terms
A \(4\sqrt{7}\)
B \(10\sqrt{7}\)
C \(\sqrt{70}\)
D \(3\sqrt{14}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{7}\)
Step 1
Concept
\(\sqrt{63}=3\sqrt{7}\), so the sum is \(4\sqrt{7}\). Simplify roots first and then add like terms.
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{7}\). \(\sqrt{63}=3\sqrt{7}\), so the sum is \(4\sqrt{7}\). Simplify roots first and then add like terms.
Step 3
Exam Tip
\(\sqrt{63}=3\sqrt{7}\) है इसलिए योग \(4\sqrt{7}\) है। पहले जड़ सरल करें फिर समान पद जोड़ें।
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कौन सा विकल्प \(\frac{1}{3}+\sqrt{11}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\frac{1}{3}+\sqrt{11}\)?
#rational-irrational
#addition
#classification
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
\(\frac{1}{3}\) is rational and \(\sqrt{11}\) is irrational. Their sum is irrational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. \(\frac{1}{3}\) is rational and \(\sqrt{11}\) is irrational. Their sum is irrational.
Step 3
Exam Tip
\(\frac{1}{3}\) परिमेय है और \(\sqrt{11}\) अपरिमेय है। उनका योग अपरिमेय होता है।
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