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Which form is obtained by rationalising the denominator of (\dfrac{3}{2-\sqrt{3}})?

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Answer and explanation

Correct answer: (,6+3\sqrt{3},)

Multiplying by (2+\sqrt{3}) makes the denominator (4-3=1). In exams, multiply both numerator and denominator by the conjugate.

Related tags

PolynomialsRationalisationSurdsConjugate

Frequently asked questions

What is the correct answer to this question?

(,6+3\sqrt{3},)

Why is this the correct answer?

Multiplying by (2+\sqrt{3}) makes the denominator (4-3=1). In exams, multiply both numerator and denominator by the conjugate.

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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