Concept-wise Practice

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.

Practice Questions

2 questions tagged with surd conversion.

Question 1/2 Hard Mathematics Chapter 1: Real Numbers 5: 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 Chapter 1: Real Numbers 5: 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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