Another way of rationalising denominator

  • M0★ M2★ M3

    I like to rationalise denominators this way:
    There’s a \( \sqrt{2}\) in the denominator, so to get rid of that, we need a \( \sqrt{2}\) in the numerator.
    Luckily, \(10\) is made of \( \sqrt{2} \times 5 \sqrt{2}\).
    Cancellong out the two \( \sqrt{2}\)‘s in the numerator and the denominator, we get \(5 \sqrt{2}\).

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