If (x=\sqrt{13}+\sqrt{12}), then (\frac{1}{x}) is equal to which expression?

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Answer and explanation

Correct answer: (\sqrt{13}-\sqrt{12})

Since ((\sqrt{13}+\sqrt{12})(\sqrt{13}-\sqrt{12})=1), the reciprocal is (\sqrt{13}-\sqrt{12}). In exams quickly identify conjugates where (a-b=1).

What is the correct answer to this question?

(\sqrt{13}-\sqrt{12})

Why is this the correct answer?

Since ((\sqrt{13}+\sqrt{12})(\sqrt{13}-\sqrt{12})=1), the reciprocal is (\sqrt{13}-\sqrt{12}). In exams quickly identify conjugates where (a-b=1).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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