Concept-wise Practice

equivalent-radicals MCQ Questions for Class 10

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

Practice Questions

8 questions tagged with equivalent-radicals.

कौन-सी संख्या \(7\sqrt{2}\) के बराबर है?

Which number is equal to \(7\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{98}\)

Step 1

Concept

\(7\sqrt{2}=\sqrt{49}\sqrt{2}\).

Step 2

Why this answer is correct

This equals \(\sqrt{98}\).

Step 3

Exam Tip

To move the outside coefficient inside, multiply by its square. चरण 1: \(7\sqrt{2}=\sqrt{49}\sqrt{2}\)। चरण 2: यह \(\sqrt{98}\) के बराबर है। चरण 3: बाहर का गुणांक अंदर ले जाने के लिए उसका वर्ग अंदर गुणा करें।

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कौन-सी संख्या \(5\sqrt{3}\) के बराबर है?

Which number is equal to \(5\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{75}\)

Step 1

Concept

\(5\sqrt{3}=\sqrt{25}\sqrt{3}\).

Step 2

Why this answer is correct

This equals \(\sqrt{75}\).

Step 3

Exam Tip

When moving an outside coefficient inside the root, multiply by its square. चरण 1: \(5\sqrt{3}=\sqrt{25}\sqrt{3}\)। चरण 2: यह \(\sqrt{75}\) के बराबर है। चरण 3: बाहर के गुणांक को अंदर ले जाते समय उसका वर्ग अंदर गुणा करें।

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कौन-सी संख्या \(6\sqrt{2}\) के बराबर है?

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

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{72}\)

Step 1

Concept

\(6\sqrt{2}=\sqrt{36}\sqrt{2}\).

Step 2

Why this answer is correct

This equals \(\sqrt{72}\).

Step 3

Exam Tip

To move the outside coefficient inside, multiply by its square. चरण 1: \(6\sqrt{2}=\sqrt{36}\sqrt{2}\)। चरण 2: यह \(\sqrt{72}\) के बराबर है। चरण 3: बाहर का गुणांक अंदर ले जाने के लिए उसका वर्ग अंदर गुणा करें।

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कौन-सी संख्या \(4\sqrt{3}\) के बराबर है?

Which number is equal to \(4\sqrt{3}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{48}\)

Step 1

Concept

\(4\sqrt{3}=\sqrt{16}\sqrt{3}\).

Step 2

Why this answer is correct

This equals \(\sqrt{48}\).

Step 3

Exam Tip

When moving an outside coefficient inside the root, multiply by its square. चरण 1: \(4\sqrt{3}=\sqrt{16}\sqrt{3}\)। चरण 2: यह \(\sqrt{48}\) के बराबर है। चरण 3: बाहर के गुणांक को अंदर ले जाते समय उसका वर्ग गुणा करें।

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कौन-सी संख्या \(3\sqrt{5}\) के बराबर है?

Which number is equal to \(3\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{45}\)

Step 1

Concept

\(3\sqrt{5}=\sqrt{9}\sqrt{5}\).

Step 2

Why this answer is correct

This equals \(\sqrt{45}\).

Step 3

Exam Tip

An outside coefficient can be moved inside by squaring it. चरण 1: \(3\sqrt{5}=\sqrt{9}\sqrt{5}\)। चरण 2: यह \(\sqrt{45}\) के बराबर है। चरण 3: बाहर के गुणांक को वर्ग करके अंदर ले जा सकते हैं।

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कौन-सी संख्या \(\sqrt{50}\) के बराबर है?

Which number is equal to \(\sqrt{50}\)?

Explanation opens after your attempt
Correct Answer

A. \(5\sqrt{2}\)

Step 1

Concept

Write \(50=25\times2\).

Step 2

Why this answer is correct

\(\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}\).

Step 3

Exam Tip

To identify an equivalent form, simplify the square root first. चरण 1: \(50=25\times2\) लिखें। चरण 2: \(\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}\)। चरण 3: बराबर रूप पहचानने के लिए सबसे पहले वर्गमूल को सरल करें।

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कौन-सी संख्या \(\sqrt{75}\) के बराबर है?

Which number is equal to \(\sqrt{75}\)?

Explanation opens after your attempt
Correct Answer

B. \(5\sqrt{3}\)

Step 1

Concept

\(75=25 \times 3\).

Step 2

Why this answer is correct

\(\sqrt{75}=5\sqrt{3}\).

Step 3

Exam Tip

To identify an equivalent form, simplify the square root first. चरण 1: \(75=25 \times 3\) है। चरण 2: \(\sqrt{75}=5\sqrt{3}\)। चरण 3: बराबर रूप पहचानने के लिए पहले वर्गमूल को सरल करें।

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कौन-सी संख्या \(\sqrt{12}\) के बराबर है?

Which number is equal to \(\sqrt{12}\)?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{3}\)

Step 1

Concept

\(12=4 \times 3\).

Step 2

Why this answer is correct

\(\sqrt{12}=2\sqrt{3}\).

Step 3

Exam Tip

To identify an equivalent form, simplify the square root first. चरण 1: \(12=4 \times 3\) है। चरण 2: \(\sqrt{12}=2\sqrt{3}\)। चरण 3: बराबर रूप पहचानने के लिए वर्गमूल को सरल करना जरूरी है।

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