\(9x^2+5x^2\) का सरल रूप क्या है?
What is the simplified form of \(9x^2+5x^2\)?
#polynomials
#like terms
#exponents
A \(14x^2\)
B \(14x^4\)
C \(45x^2\)
D \(4x^2\)
Explanation opens after your attempt
Correct Answer
A. \(14x^2\)
Step 1
Concept
These are like terms, so the coefficients (9+5=14) are added. The exponent (2) does not change.
Step 2
Why this answer is correct
The correct answer is A. \(14x^2\). These are like terms, so the coefficients (9+5=14) are added. The exponent (2) does not change.
Step 3
Exam Tip
ये समान पद हैं इसलिए गुणांक (9+5=14) जुड़ते हैं। घात (2) नहीं बदलती।
Login to save your score, XP, coins and progress. Login
(10x-4x) का सरल रूप क्या है?
What is the simplified form of (10x-4x)?
#polynomials
#like terms
#subtraction
A (6x)
B (14x)
C \(6x^2\)
D (40x)
Explanation opens after your attempt
Step 1
Concept
For like terms, coefficients are subtracted, so (10x-4x=6x). Identifying like terms is the first step.
Step 2
Why this answer is correct
The correct answer is A. (6x). For like terms, coefficients are subtracted, so (10x-4x=6x). Identifying like terms is the first step.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए (10x-4x=6x)। समान पद पहचानना पहला कदम है।
Login to save your score, XP, coins and progress. Login
(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।
Login to save your score, XP, coins and progress. Login
निम्न में से कौन \(x^2\) का समान पद है?
Which of the following is a like term of \(x^2\)?
#polynomials
#like terms
#identification
A \(3x^2\)
B (3x)
C \(x^3\)
D \(2y^2\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2\)
Step 1
Concept
Like terms have the same variable and exponent. In \(3x^2\), \(x^2\) is the same, so it is a like term.
Step 2
Why this answer is correct
The correct answer is A. \(3x^2\). Like terms have the same variable and exponent. In \(3x^2\), \(x^2\) is the same, so it is a like term.
Step 3
Exam Tip
समान पद में चर और घात समान होते हैं। \(3x^2\) में \(x^2\) वही है इसलिए यह समान पद है।
Login to save your score, XP, coins and progress. Login
\(6x^3-2x^3\) का सरल रूप क्या है?
What is the simplified form of \(6x^3-2x^3\)?
#polynomials
#like terms
#subtraction
A \(4x^3\)
B \(4x^0\)
C \(8x^3\)
D \(4x^6\)
Explanation opens after your attempt
Correct Answer
A. \(4x^3\)
Step 1
Concept
For like terms, coefficients are subtracted, so \(6x^3-2x^3=4x^3\). Variables and exponents are not subtracted.
Step 2
Why this answer is correct
The correct answer is A. \(4x^3\). For like terms, coefficients are subtracted, so \(6x^3-2x^3=4x^3\). Variables and exponents are not subtracted.
Step 3
Exam Tip
समान पदों में गुणांक घटते हैं इसलिए \(6x^3-2x^3=4x^3\)। चर और घात नहीं घटते।
Login to save your score, XP, coins and progress. Login
\(4x^2+3x^2\) का सरल रूप क्या है?
What is the simplified form of \(4x^2+3x^2\)?
#polynomials
#like terms
#exponents
A \(7x^2\)
B \(7x^4\)
C \(12x^2\)
D \(x^2\)
Explanation opens after your attempt
Correct Answer
A. \(7x^2\)
Step 1
Concept
These are like terms, so the coefficients (4+3=7) are added. The exponent (2) remains the same.
Step 2
Why this answer is correct
The correct answer is A. \(7x^2\). These are like terms, so the coefficients (4+3=7) are added. The exponent (2) remains the same.
Step 3
Exam Tip
ये समान पद हैं इसलिए गुणांक (4+3=7) जोड़े जाते हैं। घात (2) वही रहती है।
Login to save your score, XP, coins and progress. Login
(7x-2x) का सरल रूप क्या है?
What is the simplified form of (7x-2x)?
#polynomials
#like terms
#subtraction
A (5x)
B (9x)
C \(5x^2\)
D (14x)
Explanation opens after your attempt
Step 1
Concept
Subtract the coefficients of like terms, so (7x-2x=5x). The variable (x) remains the same.
Step 2
Why this answer is correct
The correct answer is A. (5x). Subtract the coefficients of like terms, so (7x-2x=5x). The variable (x) remains the same.
Step 3
Exam Tip
समान पदों के गुणांक घटाएँ इसलिए (7x-2x=5x)। चर (x) वही रहता है।
Login to save your score, XP, coins and progress. Login
(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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(4\sqrt{7}+2\sqrt{28}-\sqrt{175}\) का सरल रूप है?
Which option is the simplified form of \(4\sqrt{7}+2\sqrt{28}-\sqrt{175}\)?
#surds
#simplification
#like-terms
A \(3\sqrt{7}\)
B \(7\sqrt{7}\)
C \(\sqrt{84}\)
D (0)
Explanation opens after your attempt
Correct Answer
A. \(3\sqrt{7}\)
Step 1
Concept
\(\sqrt{28}=2\sqrt{7}\) and \(\sqrt{175}=5\sqrt{7}\). Thus \(4\sqrt{7}+4\sqrt{7}-5\sqrt{7}=3\sqrt{7}\).
Step 2
Why this answer is correct
The correct answer is A. \(3\sqrt{7}\). \(\sqrt{28}=2\sqrt{7}\) and \(\sqrt{175}=5\sqrt{7}\). Thus \(4\sqrt{7}+4\sqrt{7}-5\sqrt{7}=3\sqrt{7}\).
Step 3
Exam Tip
\(\sqrt{28}=2\sqrt{7}\) और \(\sqrt{175}=5\sqrt{7}\) है। इसलिए \(4\sqrt{7}+4\sqrt{7}-5\sqrt{7}=3\sqrt{7}\) है।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(6\sqrt{3}-2\sqrt{3}+\sqrt{3}\) का सरल रूप है?
Which option is the simplified form of \(6\sqrt{3}-2\sqrt{3}+\sqrt{3}\)?
#surds
#like-terms
#simplification
A \(5\sqrt{3}\)
B \(9\sqrt{3}\)
C \(5\sqrt{9}\)
D \(\sqrt{15}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{3}\)
Step 1
Concept
The coefficients of like radical terms are (6-2+1=5). So the answer is \(5\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{3}\). The coefficients of like radical terms are (6-2+1=5). So the answer is \(5\sqrt{3}\).
Step 3
Exam Tip
समान जड़ वाले पदों के गुणांक (6-2+1=5) बनते हैं। इसलिए उत्तर \(5\sqrt{3}\) है।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(5\sqrt{2}+3\sqrt{2}-\sqrt{2}\) का सरल रूप है?
Which option is the simplified form of \(5\sqrt{2}+3\sqrt{2}-\sqrt{2}\)?
#surds
#like-terms
#simplification
A \(7\sqrt{2}\)
B \(8\sqrt{2}\)
C \(7\sqrt{6}\)
D \(\sqrt{14}\)
Explanation opens after your attempt
Correct Answer
A. \(7\sqrt{2}\)
Step 1
Concept
The coefficients of like radical terms add as (5+3-1=7). So the answer is \(7\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(7\sqrt{2}\). The coefficients of like radical terms add as (5+3-1=7). So the answer is \(7\sqrt{2}\).
Step 3
Exam Tip
समान जड़ वाले पदों के गुणांक (5+3-1=7) जुड़ते हैं। इसलिए उत्तर \(7\sqrt{2}\) है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(\sqrt{125}+\sqrt{45}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{125}+\sqrt{45}\)?
#surds
#addition
#like-terms
A \(8\sqrt{5}\)
B \(10\sqrt{5}\)
C \(\sqrt{170}\)
D \(6\sqrt{10}\)
Explanation opens after your attempt
Correct Answer
A. \(8\sqrt{5}\)
Step 1
Concept
\(\sqrt{125}=5\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). Adding like terms gives \(8\sqrt{5}\).
Step 2
Why this answer is correct
The correct answer is A. \(8\sqrt{5}\). \(\sqrt{125}=5\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). Adding like terms gives \(8\sqrt{5}\).
Step 3
Exam Tip
\(\sqrt{125}=5\sqrt{5}\) और \(\sqrt{45}=3\sqrt{5}\) है। समान पद जोड़ने पर \(8\sqrt{5}\) मिलता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(4\sqrt{3}-\sqrt{27}\) का मान है?
Which option is the value of \(4\sqrt{3}-\sqrt{27}\)?
#surds
#subtraction
#like-terms
A \(\sqrt{3}\)
B \(7\sqrt{3}\)
C \(\sqrt{24}\)
D (3)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{3}\)
Step 1
Concept
\(\sqrt{27}=3\sqrt{3}\). Hence \(4\sqrt{3}-3\sqrt{3}=\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{3}\). \(\sqrt{27}=3\sqrt{3}\). Hence \(4\sqrt{3}-3\sqrt{3}=\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{27}=3\sqrt{3}\) है। इसलिए \(4\sqrt{3}-3\sqrt{3}=\sqrt{3}\) होगा।
Login to save your score, XP, coins and progress. Login
\(\sqrt{2}+\sqrt{8}+\sqrt{18}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{2}+\sqrt{8}+\sqrt{18}\)?
#surds
#addition
#like-terms
A \(6\sqrt{2}\)
B \(11\sqrt{2}\)
C \(\sqrt{28}\)
D \(3\sqrt{10}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{2}\)
Step 1
Concept
\(\sqrt{8}=2\sqrt{2}\) and \(\sqrt{18}=3\sqrt{2}\). The total is \(6\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{2}\). \(\sqrt{8}=2\sqrt{2}\) and \(\sqrt{18}=3\sqrt{2}\). The total is \(6\sqrt{2}\).
Step 3
Exam Tip
\(\sqrt{8}=2\sqrt{2}\) और \(\sqrt{18}=3\sqrt{2}\) है। कुल \(6\sqrt{2}\) मिलता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प \(7\sqrt{3}+2\sqrt{3}\) का सही सरल रूप है?
Which option is the correct simplified form of \(7\sqrt{3}+2\sqrt{3}\)?
#surds
#like-terms
#addition
A \(9\sqrt{3}\)
B \(14\sqrt{3}\)
C \(9\sqrt{6}\)
D \(\sqrt{30}\)
Explanation opens after your attempt
Correct Answer
A. \(9\sqrt{3}\)
Step 1
Concept
The coefficients of like radical terms are added. So \(7\sqrt{3}+2\sqrt{3}=9\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(9\sqrt{3}\). The coefficients of like radical terms are added. So \(7\sqrt{3}+2\sqrt{3}=9\sqrt{3}\).
Step 3
Exam Tip
समान जड़ वाले पदों के गुणांक जुड़ते हैं। इसलिए \(7\sqrt{3}+2\sqrt{3}=9\sqrt{3}\) है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{3}+\sqrt{75}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{3}+\sqrt{75}\)?
#surds
#like-terms
#addition
A \(6\sqrt{3}\)
B \(5\sqrt{3}\)
C \(\sqrt{78}\)
D \(25\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\(\sqrt{75}=5\sqrt{3}\), so the total is \(6\sqrt{3}\). Only like radical terms add directly.
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \(\sqrt{75}=5\sqrt{3}\), so the total is \(6\sqrt{3}\). Only like radical terms add directly.
Step 3
Exam Tip
\(\sqrt{75}=5\sqrt{3}\) इसलिए कुल \(6\sqrt{3}\) है। समान जड़ वाले पद ही सीधे जुड़ते हैं।
Login to save your score, XP, coins and progress. Login
\(\sqrt{63}+\sqrt{28}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{63}+\sqrt{28}\)?
#surds
#addition
#like-terms
A \(5\sqrt{7}\)
B \(7\sqrt{5}\)
C \(\sqrt{91}\)
D \(11\sqrt{7}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{7}\)
Step 1
Concept
\(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Adding like terms gives \(5\sqrt{7}\).
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{7}\). \(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Adding like terms gives \(5\sqrt{7}\).
Step 3
Exam Tip
\(\sqrt{63}=3\sqrt{7}\) और \(\sqrt{28}=2\sqrt{7}\) है। समान पद जोड़ने पर \(5\sqrt{7}\) मिलता है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{48}+\sqrt{12}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{48}+\sqrt{12}\)?
#surds
#addition
#like-terms
A \(6\sqrt{3}\)
B \(4\sqrt{15}\)
C \(60\sqrt{3}\)
D \(2\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Adding like terms gives \(6\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Adding like terms gives \(6\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{48}=4\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। समान पद जोड़ने पर \(6\sqrt{3}\) मिलता है।
Login to save your score, XP, coins and progress. Login
\(\sqrt{2}+\sqrt{8}\) का सही सरल रूप क्या है?
What is the correct simplified form of \(\sqrt{2}+\sqrt{8}\)?
#surds
#addition
#like-terms
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 the sum is \(3\sqrt{2}\). Simplify first and then add like terms.
Step 2
Why this answer is correct
The correct answer is A. \(3\sqrt{2}\). \(\sqrt{8}=2\sqrt{2}\) so the sum is \(3\sqrt{2}\). Simplify first and then add like terms.
Step 3
Exam Tip
\(\sqrt{8}=2\sqrt{2}\) इसलिए योग \(3\sqrt{2}\) है। पहले सरल करें फिर समान पद जोड़ें।
Login to save your score, XP, coins and progress. Login
