Hard Mathematics Chapter 1: Real Numbers Class 10 Level 15

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

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

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

View (ab) as (\(\sqrt{3}+\sqrt{2}\)\(\sqrt{3}-\sqrt{2}\)).

Step 2

Why this answer is correct

This equals (\(\sqrt{3}\)2-\(\sqrt{2}\)2=3-2=1).

Step 3

Exam Tip

Since addition order does not change the sum, recognize the conjugate form. चरण 1: (ab=\(\sqrt{3}+\sqrt{2}\)\(\sqrt{3}-\sqrt{2}\)) के रूप में देखा जा सकता है। चरण 2: यह (\(\sqrt{3}\)2-\(\sqrt{2}\)2=3-2=1) है। चरण 3: क्रम बदलने से योग नहीं बदलता, इसलिए संयुग्मी रूप पहचानें।

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