Rationalising denominatorsIB MYP Maths Extended: Mind map

Exam questions on Rationalising denominators

1. Lena is rationalising the denominators of fractions without a calculator.
   Rationalise the denominator of $\frac{4}{\sqrt8}$ and simplify your answer.2 marks
2. Tomas is simplifying expressions that contain surds, without a calculator.
   Simplify $\sqrt{12}\times\sqrt6$, giving your answer in the form $a\sqrt b$ where $b$ is as small as possible.2 marks
3. A rectangular banner has area $12$ m$^2$. Give all answers as exact values with rational denominators.
   The length of the banner is $\sqrt6$ m. Find its width.3 marks