If (x=3+\sqrt{2}) and (y=3-\sqrt{2}), what is the value of (x^{2}-y^{2})?

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Answer and explanation

Correct answer: (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.

What is the correct answer to this question?

(12\sqrt{2})

Why is this the correct answer?

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.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.

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