Hour of Math · SS3 · Unit SSNP12

Rationalising a Single-Surd Denominator

Rationalise a fraction with a single surd in the denominator by multiplying numerator and denominator by that surd, using $\sqrt{a} \times \sqrt{a} = a$ to clear the root and $\dfrac{\sqrt{a}}{\sqrt{a}} = 1$ to keep the value unchanged. Simplify the denominator to basic form first where needed, and reduce the final fraction.

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