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Question Hard Mathematics Chapter 1: Real Numbers 5: 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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