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simplifying radicals MCQ Questions for Class 10

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3 questions tagged with simplifying radicals.

Question 1/3 Expert Mathematics Real Numbers Irrational numbers Class 10 Level 15

\(\sqrt{48}\) को सरल करने पर संख्या किस प्रकार की है?

After simplifying \(\sqrt{48}\) what type of number is it?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय क्योंकि \(\sqrt{48}=4\sqrt{3}\)Irrational because \(\sqrt{48}=4\sqrt{3}\)

Step 1

Concept

\(48=16\cdot 3\).

Step 2

Why this answer is correct

\(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{3}\) is irrational.

Step 3

Exam Tip

The square root of an even number need not be rational. चरण 1: \(48=16\cdot 3\) है। चरण 2: \(\sqrt{48}=4\sqrt{3}\) और \(\sqrt{3}\) अपरिमेय है। चरण 3: सम संख्या का वर्गमूल परिमेय होगा यह जरूरी नहीं।

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Question 2/3 Expert Mathematics Real Numbers Irrational numbers Class 10 Level 13

कौन-सा विकल्प \(\sqrt{3}\) और \(\sqrt{12}\) के बीच संबंध सही बताता है?

Which option correctly states the relation between \(\sqrt{3}\) and \(\sqrt{12}\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

\(12=4\times3\).

Step 2

Why this answer is correct

\(\sqrt{12}=\sqrt{4}\sqrt{3}=2\sqrt{3}\).

Step 3

Exam Tip

Take the perfect square factor outside the radical. चरण 1: \(12=4\times3\) है। चरण 2: \(\sqrt{12}=\sqrt{4}\sqrt{3}=2\sqrt{3}\)। चरण 3: पूर्ण वर्ग गुणनखंड को मूल से बाहर निकालें।

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Question 3/3 Hard Mathematics Real Numbers Irrational numbers Class 10 Level 14

कौन-सा कथन \(\sqrt{12}\) के लिए सही है?

Which statement is correct for \(\sqrt{12}\)?

Explanation opens after your attempt
Correct Answer

B. यह \(2\sqrt{3}\) के बराबर है और अपरिमेय हैIt is equal to \(2\sqrt{3}\) and irrational

Step 1

Concept

\(12=4\times3\).

Step 2

Why this answer is correct

\(\sqrt{12}=2\sqrt{3}\), and \(\sqrt{3}\) is irrational.

Step 3

Exam Tip

After simplification, if a non-square remains inside the root, the number stays irrational. चरण 1: \(12=4\times3\) है। चरण 2: \(\sqrt{12}=2\sqrt{3}\), और \(\sqrt{3}\) अपरिमेय है। चरण 3: मूल को सरल करने के बाद भी अंदर पूर्ण वर्ग न बचे तो संख्या अपरिमेय रहती है।

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