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surd conversion MCQ Questions for Class 10

surd conversion se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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2 questions tagged with surd conversion.

Question 1/2 Hard Mathematics Real Numbers Irrational numbers Class 10 Level 15

कौन-सा विकल्प \(2\sqrt{15}\) के बराबर है?

Which option is equal to \(2\sqrt{15}\)?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{60}\)

Step 1

Concept

\(2\sqrt{15}=\sqrt{4}\sqrt{15}\).

Step 2

Why this answer is correct

Therefore \(2\sqrt{15}=\sqrt{60}\).

Step 3

Exam Tip

When moving a coefficient inside a square root, its square goes inside. चरण 1: \(2\sqrt{15}=\sqrt{4}\sqrt{15}\) लिखा जा सकता है। चरण 2: इसलिए \(2\sqrt{15}=\sqrt{60}\)। चरण 3: गुणांक को मूल के अंदर ले जाते समय उसका वर्ग अंदर जाता है।

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Question 2/2 Hard Mathematics Real Numbers Irrational numbers Class 10 Level 14

कौन-सा विकल्प \(2\sqrt{6}\) के बराबर है?

Which option is equal to \(2\sqrt{6}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{24}\)

Step 1

Concept

\(2\sqrt{6}\) can be written as \(\sqrt{4}\sqrt{6}\).

Step 2

Why this answer is correct

Therefore \(2\sqrt{6}=\sqrt{24}\).

Step 3

Exam Tip

When moving a coefficient inside a square root, square the coefficient. चरण 1: \(2\sqrt{6}=\sqrt{4}\sqrt{6}\) लिखा जा सकता है। चरण 2: इसलिए \(2\sqrt{6}=\sqrt{24}\) है। चरण 3: गुणांक को मूल के अंदर ले जाते समय उसका वर्ग अंदर जाता है।

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