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Question Hard Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

यदि \(x=\sqrt{5}-\sqrt{2}\), तो \(x^2\) कौन-सा होगा?

If \(x=\sqrt{5}-\sqrt{2}\), what is \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(7-2\sqrt{10}\)

Step 1

Concept

Use ((a-b)2=a-2-2ab+b-2).

Step 2

Why this answer is correct

\(x^2=5-2\sqrt{10}+2=7-2\sqrt{10}\).

Step 3

Exam Tip

Do not forget the negative sign in the middle term when squaring a difference. चरण 1: ((a-b)2=a-2-2ab+b-2) का प्रयोग करें। चरण 2: \(x^2=5-2\sqrt{10}+2=7-2\sqrt{10}\)। चरण 3: अंतर के वर्ग में बीच वाले पद का ऋण चिह्न न भूलें।

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