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What is the rationalized form of (\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}})?

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Answer and explanation

Correct answer: (5+2\sqrt{6})

Multiplying by the conjugate of the denominator gives denominator (1) and numerator ((\sqrt{3}+\sqrt{2})^2=5+2\sqrt{6}). In exams apply the conjugate in one step.

Related tags

RationalizationAdvanced-SurdConjugates

Frequently asked questions

What is the correct answer to this question?

(5+2\sqrt{6})

Why is this the correct answer?

Multiplying by the conjugate of the denominator gives denominator (1) and numerator ((\sqrt{3}+\sqrt{2})^2=5+2\sqrt{6}). In exams apply the conjugate in one step.

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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