Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Expand and simplify $(3+\sqrt{2})(1+4\sqrt{2})$.

(b)[2]

Rationalise the denominator: $\frac{1}{1+\sqrt{7}}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $11+13\sqrt2$.

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