संख्या रेखा पर \( \sqrt{7.84} \) को किस बिंदु पर चिन्हित किया जाएगा?
At which point will \( \sqrt{7.84} \) be marked on the number line?
#number-line
#decimal-square-root
#exact-value
A (2.6)
B (2.7)
C (2.8)
D (2.9)
Explanation opens after your attempt
Step 1
Concept
Since \(2.8^2=7.84\), \( \sqrt{7.84}=2.8 \). Watch place value carefully in decimal square roots.
Step 2
Why this answer is correct
The correct answer is C. (2.8). Since \(2.8^2=7.84\), \( \sqrt{7.84}=2.8 \). Watch place value carefully in decimal square roots.
Step 3
Exam Tip
\(2.8^2=7.84\), इसलिए \( \sqrt{7.84}=2.8 \)। दशमलव वर्गमूल में स्थानमान सावधानी से देखें।
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संख्या रेखा पर \( \sqrt{5.76} \) को किस बिंदु पर चिन्हित किया जाएगा?
At which point will \( \sqrt{5.76} \) be marked on the number line?
#number-line
#decimal-square-root
#exact-value
A (2.2)
B (2.3)
C (2.4)
D (2.6)
Explanation opens after your attempt
Step 1
Concept
Since \(2.4^2=5.76\), \( \sqrt{5.76}=2.4 \). Watch place value in decimal squares.
Step 2
Why this answer is correct
The correct answer is C. (2.4). Since \(2.4^2=5.76\), \( \sqrt{5.76}=2.4 \). Watch place value in decimal squares.
Step 3
Exam Tip
\(2.4^2=5.76\), इसलिए \( \sqrt{5.76}=2.4 \)। दशमलव वर्गों का स्थानमान ध्यान से देखें।
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संख्या रेखा पर \( \sqrt{3.24} \) किस बिंदु के बराबर है?
On the number line, \( \sqrt{3.24} \) is equal to which point?
#number-line
#decimal-square-root
#exact-value
A (1.6)
B (1.8)
C (0.18)
D (18)
Explanation opens after your attempt
Step 1
Concept
Since \(1.8^2=3.24\), \( \sqrt{3.24}=1.8 \). Check place value carefully in decimal squares.
Step 2
Why this answer is correct
The correct answer is B. (1.8). Since \(1.8^2=3.24\), \( \sqrt{3.24}=1.8 \). Check place value carefully in decimal squares.
Step 3
Exam Tip
\(1.8^2=3.24\), इसलिए \( \sqrt{3.24}=1.8 \)। दशमलव वर्गों में स्थानमान सावधानी से देखें।
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संख्या रेखा पर \( \sqrt{2.89} \) को किस बिंदु पर चिन्हित किया जाएगा?
At which point will \( \sqrt{2.89} \) be marked on the number line?
#number-line
#decimal-square-root
#exact-value
A (1.7)
B (1.6)
C (1.8)
D (2.89)
Explanation opens after your attempt
Step 1
Concept
Since \(1.7^2=2.89\), \( \sqrt{2.89}=1.7 \). Recognising decimal squares saves time.
Step 2
Why this answer is correct
The correct answer is A. (1.7). Since \(1.7^2=2.89\), \( \sqrt{2.89}=1.7 \). Recognising decimal squares saves time.
Step 3
Exam Tip
\(1.7^2=2.89\) इसलिए \( \sqrt{2.89}=1.7 \)। दशमलव वर्ग पहचानना समय बचाता है।
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संख्या रेखा पर कौन-सी संख्या \(\sqrt{9.61}\) के बराबर है?
Which number is equal to \(\sqrt{9.61}\) on the number line?
#polynomials
#number-line
#decimal-square-root
#perfect-decimal-square
A (3.1)
B (3.01)
C (3.001)
D (9.61)
Explanation opens after your attempt
Step 1
Concept
Because \(3.1^2=9.61\), \(\sqrt{9.61}=3.1\). Multiply decimal squares carefully.
Step 2
Why this answer is correct
The correct answer is A. (3.1). Because \(3.1^2=9.61\), \(\sqrt{9.61}=3.1\). Multiply decimal squares carefully.
Step 3
Exam Tip
क्योंकि \(3.1^2=9.61\), इसलिए \(\sqrt{9.61}=3.1\)। दशमलव वर्गों को सावधानी से गुणा करें।
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कौन-सा कथन संख्या रेखा पर \(0<\sqrt{0.49}<1\) को सही ठहराता है?
Which statement justifies \(0<\sqrt{0.49}<1\) on the number line?
#polynomials
#number-line
#decimal-square-root
#inequality
A क्योंकि (0<0.49<1) / Because (0<0.49<1)
B क्योंकि (0.49>1) / Because (0.49>1)
C क्योंकि \(\sqrt{0.49}=49\) / Because \(\sqrt{0.49}=49\)
D क्योंकि \(\sqrt{0.49}<0\) / Because \(\sqrt{0.49}<0\)
Explanation opens after your attempt
Correct Answer
A. क्योंकि (0<0.49<1) / Because (0<0.49<1)
Step 1
Concept
If (0<a<1), then \(0<\sqrt{a}<1\); here (a=0.49). For decimal square roots, identify the bounds first.
Step 2
Why this answer is correct
The correct answer is A. क्योंकि (0<0.49<1) / Because (0<0.49<1). If (0<a<1), then \(0<\sqrt{a}<1\); here (a=0.49). For decimal square roots, identify the bounds first.
Step 3
Exam Tip
यदि (0<a<1), तो \(0<\sqrt{a}<1\); यहाँ (a=0.49) है। दशमलव वर्गमूलों में सीमा पहले पहचानें।
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संख्या रेखा पर \(\sqrt{0.49}\) का सही स्थान कौन सा है?
What is the correct position of \(\sqrt{0.49}\) on the number line?
#number-line
#decimal-square-root
#perfect-square
#position
A (0.07)
B (0.7)
C (4.9)
D (7)
Explanation opens after your attempt
Step 1
Concept
Since \(0.7^2=0.49\), \(\sqrt{0.49}=0.7\). Be careful with place value in decimal squares.
Step 2
Why this answer is correct
The correct answer is B. (0.7). Since \(0.7^2=0.49\), \(\sqrt{0.49}=0.7\). Be careful with place value in decimal squares.
Step 3
Exam Tip
\(0.7^2=0.49\), इसलिए \(\sqrt{0.49}=0.7\) है। दशमलव वर्गों में स्थान मान सावधानी से देखें।
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कौन सा विकल्प \(\sqrt{0.49}+\frac{1}{\sqrt{25}}\) का मान है?
Which option is the value of \(\sqrt{0.49}+\frac{1}{\sqrt{25}}\)?
#decimal-square-root
#rational-number
#calculation
A (0.9)
B (0.75)
C (1.2)
D (0.2)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.49}=0.7\) and \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\). The sum is (0.9).
Step 2
Why this answer is correct
The correct answer is A. (0.9). \(\sqrt{0.49}=0.7\) and \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\). The sum is (0.9).
Step 3
Exam Tip
\(\sqrt{0.49}=0.7\) और \(\frac{1}{\sqrt{25}}=\frac{1}{5}=0.2\) है। योग (0.9) है।
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कौन सा विकल्प \(\sqrt{0.36}+\sqrt{0.49}\) का मान है?
Which option is the value of \(\sqrt{0.36}+\sqrt{0.49}\)?
#decimal-square-root
#rational-number
#calculation
A (1.3)
B (0.13)
C (1.1)
D (0.85)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.36}=0.6\) and \(\sqrt{0.49}=0.7\). The sum is (1.3), which is rational.
Step 2
Why this answer is correct
The correct answer is A. (1.3). \(\sqrt{0.36}=0.6\) and \(\sqrt{0.49}=0.7\). The sum is (1.3), which is rational.
Step 3
Exam Tip
\(\sqrt{0.36}=0.6\) और \(\sqrt{0.49}=0.7\) है। योग (1.3) है जो परिमेय है।
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कौन सा विकल्प \(\sqrt{0.64}+\sqrt{0.09}\) का मान है?
Which option is the value of \(\sqrt{0.64}+\sqrt{0.09}\)?
#decimal-square-root
#rational-number
#calculation
A (1.1)
B (0.11)
C (0.89)
D (1.7)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.64}=0.8\) and \(\sqrt{0.09}=0.3\). The sum is (1.1).
Step 2
Why this answer is correct
The correct answer is A. (1.1). \(\sqrt{0.64}=0.8\) and \(\sqrt{0.09}=0.3\). The sum is (1.1).
Step 3
Exam Tip
\(\sqrt{0.64}=0.8\) और \(\sqrt{0.09}=0.3\) है। योग (1.1) है।
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कौन सा विकल्प \(\sqrt{0.81}\) का मान है?
Which option is the value of \(\sqrt{0.81}\)?
#decimal-square-root
#rational-number
#calculation
A (0.9)
B (0.09)
C (9)
D (0.081)
Explanation opens after your attempt
Step 1
Concept
Since \(0.9\times0.9=0.81\), \(\sqrt{0.81}=0.9\). It is a terminating decimal.
Step 2
Why this answer is correct
The correct answer is A. (0.9). Since \(0.9\times0.9=0.81\), \(\sqrt{0.81}=0.9\). It is a terminating decimal.
Step 3
Exam Tip
\(0.9\times0.9=0.81\) इसलिए \(\sqrt{0.81}=0.9\)। यह सांत दशमलव है।
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कौन सा विकल्प \(\sqrt{0.25}+\sqrt{0.04}\) का मान है?
Which option is the value of \(\sqrt{0.25}+\sqrt{0.04}\)?
#decimal-square-root
#rational-numbers
#calculation
A (0.7)
B (0.3)
C (0.54)
D (0.29)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{0.25}=0.5\) and \(\sqrt{0.04}=0.2\). The sum is (0.7), which is rational.
Step 2
Why this answer is correct
The correct answer is A. (0.7). \(\sqrt{0.25}=0.5\) and \(\sqrt{0.04}=0.2\). The sum is (0.7), which is rational.
Step 3
Exam Tip
\(\sqrt{0.25}=0.5\) और \(\sqrt{0.04}=0.2\) है। योग (0.7) है जो परिमेय है।
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कौन सा विकल्प \(\sqrt{0.16}\) का मान है?
Which option is the value of \(\sqrt{0.16}\)?
#decimal-square-root
#rational-number
#calculation
A (0.4)
B (0.04)
C (4)
D (1.6)
Explanation opens after your attempt
Step 1
Concept
Since \(0.4\times0.4=0.16\), \(\sqrt{0.16}=0.4\). This is a rational number.
Step 2
Why this answer is correct
The correct answer is A. (0.4). Since \(0.4\times0.4=0.16\), \(\sqrt{0.16}=0.4\). This is a rational number.
Step 3
Exam Tip
\(0.4\times0.4=0.16\) इसलिए \(\sqrt{0.16}=0.4\)। यह परिमेय संख्या है।
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\(\sqrt{0.09}\) का मान क्या है?
What is the value of \(\sqrt{0.09}\)?
#decimal-square-root
#rational-numbers
#calculation
A (0.3)
B (0.03)
C (3)
D (0.9)
Explanation opens after your attempt
Step 1
Concept
Since \(0.3\times0.3=0.09\), \(\sqrt{0.09}=0.3\). It is a terminating decimal.
Step 2
Why this answer is correct
The correct answer is A. (0.3). Since \(0.3\times0.3=0.09\), \(\sqrt{0.09}=0.3\). It is a terminating decimal.
Step 3
Exam Tip
\(0.3\times0.3=0.09\) इसलिए \(\sqrt{0.09}=0.3\)। यह सांत दशमलव है।
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\(\sqrt{0.04}\) का मान किस प्रकार की संख्या है?
What type of number is the value of \(\sqrt{0.04}\)?
#decimal-square-root
#rational-numbers
#classification
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D प्राकृतिक संख्या / Natural number
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
\(\sqrt{0.04}=0.2\) which is a terminating decimal. So it is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. \(\sqrt{0.04}=0.2\) which is a terminating decimal. So it is rational.
Step 3
Exam Tip
\(\sqrt{0.04}=0.2\) है जो सांत दशमलव है। इसलिए यह परिमेय है।
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कौन सा विकल्प \(\sqrt{0.04}\) का सही प्रकार बताता है?
Which option correctly describes \(\sqrt{0.04}\)?
#decimal square root
#rational vs irrational
#class 10
A अपरिमेय क्योंकि दशमलव है / Irrational because it is decimal
B परिमेय क्योंकि \(\sqrt{0.04}=0.2\) / Rational because \(\sqrt{0.04}=0.2\)
C अपरिमेय क्योंकि वर्गमूल है / Irrational because it is a square root
D प्राकृतिक संख्या / Natural number
Explanation opens after your attempt
Correct Answer
B. परिमेय क्योंकि \(\sqrt{0.04}=0.2\) / Rational because \(\sqrt{0.04}=0.2\)
Step 1
Concept
\(0.04=\frac{4}{100}\).
Step 2
Why this answer is correct
\(\sqrt{0.04}=\frac{2}{10}=0.2\) which is rational.
Step 3
Exam Tip
Every square root is not irrational. चरण 1: \(0.04=\frac{4}{100}\)। चरण 2: \(\sqrt{0.04}=\frac{2}{10}=0.2\) परिमेय है। चरण 3: हर वर्गमूल अपरिमेय नहीं होता।
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