Mathematics 0580 · IGCSE · Powers and roots

Powers and roots — practice question

(a)[2]

$(3-\sqrt5)(2+3\sqrt5)=a+b\sqrt5$. Find $a$ and $b$.

(b)[2]

Rationalise the denominator and express your answer in its simplest form. $\frac{6}{\sqrt2}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Hence \(a=-9\)

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