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negative surd MCQ Questions for Class 10

negative surd 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 negative surd.

Question 1/2 Hard Mathematics Polynomials Representing real numbers on the number line Class 10 Level 49

किस विकल्प में संख्या रेखा पर \(-\sqrt{12}\) का सही सरल अंतराल है?

Which option gives the correct simple interval for \(-\sqrt{12}\) on the number line?

Explanation opens after your attempt
Correct Answer

A. ((-4,-3))

Step 1

Concept

Since \(3<\sqrt{12}<4\), \(-4<-\sqrt{12}<-3\). Multiplying by a negative reverses the inequality.

Step 2

Why this answer is correct

The correct answer is A. ((-4,-3)). Since \(3<\sqrt{12}<4\), \(-4<-\sqrt{12}<-3\). Multiplying by a negative reverses the inequality.

Step 3

Exam Tip

क्योंकि \(3<\sqrt{12}<4\), इसलिए \(-4<-\sqrt{12}<-3\)। ऋणात्मक करने पर असमानता की दिशा बदलती है।

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

यदि \(a=\sqrt{13}-\sqrt{52}\), तो (a) का सरल रूप क्या है?

If \(a=\sqrt{13}-\sqrt{52}\), what is the simplified form of (a)?

Explanation opens after your attempt
Correct Answer

A. \(-\sqrt{13}\)

Step 1

Concept

\(\sqrt{52}=2\sqrt{13}\).

Step 2

Why this answer is correct

\(a=\sqrt{13}-2\sqrt{13}=-\sqrt{13}\), which is irrational.

Step 3

Exam Tip

A negative sign does not change irrationality. चरण 1: \(\sqrt{52}=2\sqrt{13}\) है। चरण 2: \(a=\sqrt{13}-2\sqrt{13}=-\sqrt{13}\), जो अपरिमेय है। चरण 3: ऋण चिह्न आने पर भी अपरिमेयता नहीं बदलती।

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