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Question Expert Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 13

यदि \(x=\sqrt{2}\), तो \(x^4-4x^2+4\) का मान क्या है?

If \(x=\sqrt{2}\), what is the value of \(x^4-4x^2+4\)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

\(x^2=2\).

Step 2

Why this answer is correct

Therefore (x-4=\(x^2\)2=4), and the value is (4-8+4=0).

Step 3

Exam Tip

For powers of a surd, first find \(x^2\). चरण 1: \(x^2=2\) है। चरण 2: इसलिए (x-4=\(x^2\)2=4), और मान (4-8+4=0) है। चरण 3: मूल वाली संख्या पर घात लगाते समय पहले \(x^2\) निकालें।

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