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कौन सा कथन सत्य है?
Which statement is true?
#square roots
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A \(\sqrt{49}\) अपरिमेय है / \(\sqrt{49}\) is irrational
B \(\sqrt{50}\) परिमेय है / \(\sqrt{50}\) is rational
C \(\sqrt{64}\) पूर्णांक है / \(\sqrt{64}\) is an integer
D \(\sqrt{18}\) प्राकृतिक संख्या है / \(\sqrt{18}\) is a natural number
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Correct Answer
C. \(\sqrt{64}\) पूर्णांक है / \(\sqrt{64}\) is an integer
Step 1
Concept
\(\sqrt{64}=8\) which is an integer. Check perfect squares carefully.
Step 2
Why this answer is correct
The correct answer is C. \(\sqrt{64}\) पूर्णांक है / \(\sqrt{64}\) is an integer. \(\sqrt{64}=8\) which is an integer. Check perfect squares carefully.
Step 3
Exam Tip
\(\sqrt{64}=8\) जो पूर्णांक है। पूर्ण वर्गों के वर्गमूल पर ध्यान दें।
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यदि \(x=\sqrt{5}\) तो \(x^2\) क्या होगा?
If \(x=\sqrt{5}\) then what is \(x^2\)?
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A 25
B 10
C 5
D \(\sqrt{5}\)
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Step 1
Concept
Square and square root cancel each other. Recall the basic definition.
Step 2
Why this answer is correct
The correct answer is C. 5. Square and square root cancel each other. Recall the basic definition.
Step 3
Exam Tip
वर्ग और वर्गमूल एक दूसरे को निरस्त करते हैं। मूल परिभाषा याद रखें।
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यदि \(x=\sqrt{11}\) तो (x) है
If \(x=\sqrt{11}\) then (x) is
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A परिमेय / Rational
B अपरिमेय / Irrational
C पूर्णांक / Integer
D पूर्ण संख्या / Whole number
Explanation opens after your attempt
Correct Answer
B. अपरिमेय / Irrational
Step 1
Concept
11 is not a perfect square so \(\sqrt{11}\) is irrational. Check perfect squares.
Step 2
Why this answer is correct
The correct answer is B. अपरिमेय / Irrational. 11 is not a perfect square so \(\sqrt{11}\) is irrational. Check perfect squares.
Step 3
Exam Tip
11 पूर्ण वर्ग नहीं है इसलिए \(\sqrt{11}\) अपरिमेय है। पूर्ण वर्ग पहचानें।
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\(\sqrt{81}+\sqrt{1}\) का मान क्या है?
What is the value of \(\sqrt{81}+\sqrt{1}\)?
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A 8
B 9
C 10
D 11
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Step 1
Concept
\(\sqrt{81}=9\) and \(\sqrt{1}=1\). Sum is 10.
Step 2
Why this answer is correct
The correct answer is C. 10. \(\sqrt{81}=9\) and \(\sqrt{1}=1\). Sum is 10.
Step 3
Exam Tip
\(\sqrt{81}=9\) और \(\sqrt{1}=1\)। योग 10 है।
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यदि \(x=\sqrt{6}\) तो \(x\times x\) क्या है?
If \(x=\sqrt{6}\) then what is \(x\times x\)?
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A 12
B 6
C \(\sqrt{12}\)
D \(\sqrt{6}\)
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Step 1
Concept
(\(\sqrt{6}\)2 =6). Square and square root are inverse operations.
Step 2
Why this answer is correct
The correct answer is B. 6. (\(\sqrt{6}\)2 =6). Square and square root are inverse operations.
Step 3
Exam Tip
(\(\sqrt{6}\)2 =6)। वर्ग और वर्गमूल परस्पर व्युत्क्रम हैं।
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यदि \(x=\sqrt{14}\) तो \(x^2-10\) क्या है?
If \(x=\sqrt{14}\) then what is \(x^2-10\)?
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A 24
B 14
C 10
D 4
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Step 1
Concept
\(x^2=14\), hence (14-10=4). Evaluate the square first.
Step 2
Why this answer is correct
The correct answer is D. 4. \(x^2=14\), hence (14-10=4). Evaluate the square first.
Step 3
Exam Tip
\(x^2=14\) इसलिए (14-10=4)। पहले वर्ग निकालें।
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\(\frac{\sqrt{81}}{\sqrt{9}}\) का मान क्या है?
What is the value of \(\frac{\sqrt{81}}{\sqrt{9}}\)?
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A 1
B 3
C 9
D 27
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Step 1
Concept
\(\frac{9}{3}=3\). Evaluate square roots correctly.
Step 2
Why this answer is correct
The correct answer is B. 3. \(\frac{9}{3}=3\). Evaluate square roots correctly.
Step 3
Exam Tip
\(\frac{9}{3}=3\)। वर्गमूल का सही मान लें।
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