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sqrt13 MCQ Questions for Class 10

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3 questions tagged with sqrt13.

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

यदि \(x=7+\sqrt{13}\), तो (x-7) कैसी संख्या है?

If \(x=7+\sqrt{13}\), what type of number is (x-7)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

(x-7=\(7+\sqrt{13}\)-7).

Step 2

Why this answer is correct

This leaves \(\sqrt{13}\), which is irrational.

Step 3

Exam Tip

In such expressions, first subtract the matching rational part. चरण 1: (x-7=\(7+\sqrt{13}\)-7) होगा। चरण 2: इससे \(\sqrt{13}\) बचता है, जो अपरिमेय है। चरण 3: ऐसी अभिव्यक्तियों में पहले समान परिमेय भाग घटाएं।

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Question 2/3 Medium Mathematics Real Numbers Irrational numbers Class 10 Level 14

निम्नलिखित में से कौन-सा मान \(\sqrt{13}\) के सबसे निकट है?

Which of the following values is closest to \(\sqrt{13}\)?

Explanation opens after your attempt
Correct Answer

B. (3.61)

Step 1

Concept

Since (9<13<16), \(\sqrt{13}\) lies between (3) and (4).

Step 2

Why this answer is correct

\(\sqrt{13}\approx3.606\), so (3.61) is the closest.

Step 3

Exam Tip

In approximation, first set the range using perfect squares. चरण 1: (9<13<16), इसलिए \(\sqrt{13}\) (3) और (4) के बीच है। चरण 2: \(\sqrt{13}\approx3.606\), इसलिए (3.61) सबसे निकट है। चरण 3: अनुमान में पहले पूर्ण वर्गों से सीमा तय करें।

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

\(\sqrt{13}\) का मान किन दो पूर्णांकों के बीच है?

Between which two integers does \(\sqrt{13}\) lie?

Explanation opens after your attempt
Correct Answer

B. (3) और (4)(3) and (4)

Step 1

Concept

(9<13<16).

Step 2

Why this answer is correct

Therefore, \(3<\sqrt{13}<4\).

Step 3

Exam Tip

Nearby perfect squares are very useful for comparing square roots. चरण 1: (9<13<16) है। चरण 2: इसलिए \(3<\sqrt{13}<4\)। चरण 3: वर्गमूल की तुलना के लिए पास के पूर्ण वर्ग बहुत उपयोगी होते हैं।

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