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Rationalise (sqrt(a) +/- sqrt(b))/(sqrt(a) -/+ sqrt(b))

This type of question, asked 2 times: 25 Jul 2023 S4, 26 Sep 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    25 Jul 2023 S4

    75
    Simplify the expression x−yx+y\frac{\sqrt{x} - \sqrt{y}}{\sqrt{x} + \sqrt{y}}, where x=2x = 2 and y=3y = 3.

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  2. Question 2

    26 Sep 2025 S1

    70
    Rationalize: 2+32−3\frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}-\sqrt{3}}

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