Mathematics 0580 · IGCSE · Surds

Surds — practice question

(a)[2]

Rationalise the denominator in $\frac{9}{\sqrt{3}}$. Write your answer in the simplest form.

(b)[2]

$(5 - \sqrt{2})(1 + 3\sqrt{2}) = c + k\sqrt{2}$. Determine the value of $c$ and the value of $k$.

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 $3\sqrt{3}$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI