यदि \(x=3+\sqrt{2}\) और \(y=3-\sqrt{2}\), तो \(x^{2}-y^{2}\) का मान क्या है?
If \(x=3+\sqrt{2}\) and \(y=3-\sqrt{2}\), what is the value of \(x^{2}-y^{2}\)?
Explanation opens after your attempt
Correct Answer
A. \(12\sqrt{2}\)
Concept
Using (x^{2}-y^{2}=(x-y)(x+y)), we get \(x-y=2\sqrt{2}\) and (x+y=6), so the value is \(12\sqrt{2}\). In exams, identities reduce calculation.
Why this answer is correct
The correct answer is A. \(12\sqrt{2}\). Using (x^{2}-y^{2}=(x-y)(x+y)), we get \(x-y=2\sqrt{2}\) and (x+y=6), so the value is \(12\sqrt{2}\). In exams, identities reduce calculation.
Exam Tip
(x^{2}-y^{2}=(x-y)(x+y)), जहाँ \(x-y=2\sqrt{2}\) और (x+y=6), इसलिए मान \(12\sqrt{2}\) है। परीक्षा में पहचान से लंबी गणना बचती है।
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