Question

Rationalise the denominator 2√3 - √5 / 2√3 + 3√3​

Answer 1

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(2√3-√5)/(2√3+3√3)

=(2√3-√5)(2√3-3√3)/(2√3)²-(3√3)²

=12-18-2√15+3√15/12-27

=-6+√15/-15