Question

Simplify the following by rationalisiing the denominator
(3√5-√7)/(3√3+√2)

Answer 1

(3√5-√7) ÷ (3√3+√2)

=(3√5-√7)(3√3-√2) ÷ (3√3+√2)(3√3-√2)

=9√15-3√10-3√21+√14 ÷ (3√3)² - (√2)²

=9√15-3√10-3√21+√14 ÷ 27-2

=9√15-3√10-3√21+√14 / 25.....

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