Hard Mathematics Chapter 1: Real Numbers Class 10 Level 14

यदि \(a=\sqrt{3}+2\) और \(b=\sqrt{3}-2\), तो (ab) की प्रकृति क्या है?

If \(a=\sqrt{3}+2\) and \(b=\sqrt{3}-2\), what is the nature of (ab)?

Explanation opens after your attempt
Correct Answer

A. परिमेय और ऋणात्मकRational and negative

Step 1

Concept

(a) and (b) are conjugates.

Step 2

Why this answer is correct

(ab=\(\sqrt{3}\)2-22=3-4=-1), which is rational and negative.

Step 3

Exam Tip

In conjugate multiplication, the middle irrational terms cancel. चरण 1: (a) और (b) संयुग्मी रूप में हैं। चरण 2: (ab=\(\sqrt{3}\)2-22=3-4=-1), जो परिमेय और ऋणात्मक है। चरण 3: संयुग्मी गुणन में बीच के अपरिमेय पद कट जाते हैं।

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The correct answer is A. परिमेय और ऋणात्मक / Rational and negative.

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