Concept-wise Practice
simplifying-roots MCQ Questions for Class 10
simplifying-roots se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
Practice Questions
4 questions tagged with simplifying-roots.
संख्या रेखा पर \( \sqrt{245} \) का सरल रूप कौन सा है जिससे उसका स्थान समझना आसान हो?
Which simplified form of \( \sqrt{245} \) makes its position on the number line easier to understand?
Explanation opens after your attempt
Correct Answer
B. \(7\sqrt{5}\)
Step 1
Concept
\( \sqrt{245}=\sqrt{49\cdot5}=7\sqrt{5} \). Factor out the largest perfect square.
Step 2
Why this answer is correct
The correct answer is B. \(7\sqrt{5}\). \( \sqrt{245}=\sqrt{49\cdot5}=7\sqrt{5} \). Factor out the largest perfect square.
Step 3
Exam Tip
\( \sqrt{245}=\sqrt{49\cdot5}=7\sqrt{5} \) है। सबसे बड़ा पूर्ण वर्ग बाहर निकालें।
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संख्या रेखा पर \( \sqrt{180} \) का सरल रूप कौन सा है जिससे उसका स्थान समझना आसान हो?
Which simplified form of \( \sqrt{180} \) makes its position on the number line easier to understand?
Explanation opens after your attempt
Correct Answer
B. \(6\sqrt{5}\)
Step 1
Concept
\( \sqrt{180}=\sqrt{36\cdot5}=6\sqrt{5} \). Factor out the largest perfect square.
Step 2
Why this answer is correct
The correct answer is B. \(6\sqrt{5}\). \( \sqrt{180}=\sqrt{36\cdot5}=6\sqrt{5} \). Factor out the largest perfect square.
Step 3
Exam Tip
\( \sqrt{180}=\sqrt{36\cdot5}=6\sqrt{5} \) है। सबसे बड़ा पूर्ण वर्ग बाहर निकालें।
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यदि \(x=\sqrt{108}\), तो संख्या रेखा पर (x) का सरल रूप कौन सा है?
If \(x=\sqrt{108}\), what is the simplified form of (x) on the number line?
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\( \sqrt{108}=\sqrt{36\cdot3}=6\sqrt{3} \). Factor out the largest perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \( \sqrt{108}=\sqrt{36\cdot3}=6\sqrt{3} \). Factor out the largest perfect square.
Step 3
Exam Tip
\( \sqrt{108}=\sqrt{36\cdot3}=6\sqrt{3} \)। सबसे बड़ा पूर्ण वर्ग बाहर निकालें।
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संख्या रेखा पर \( \sqrt{80} \) का सरल रूप कौन सा है जिससे उसका स्थान समझना आसान हो?
Which simplified form of \( \sqrt{80} \) makes its position on the number line easier to understand?
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{5}\)
Step 1
Concept
\( \sqrt{80}=\sqrt{16\cdot5}=4\sqrt{5} \). Factor out the largest perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{5}\). \( \sqrt{80}=\sqrt{16\cdot5}=4\sqrt{5} \). Factor out the largest perfect square.
Step 3
Exam Tip
\( \sqrt{80}=\sqrt{16\cdot5}=4\sqrt{5} \) है। सबसे बड़ा पूर्ण वर्ग बाहर निकालें।
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