Rationalisation Worksheet - Grade 10
A worksheet covering rationalisation of denominators with monomials and binomials for Grade 10 Math students.
Includes
Standards
Topics
Rationalisation Worksheet
Name:
Date:
Score:
Read each question carefully and rationalise the denominator. Show all your working steps clearly.
1. Rationalise the denominator of $\frac{1}{\sqrt{3}}$.
2. Rationalise the denominator of $\frac{5}{2\sqrt{7}}$.
3. Rationalise the denominator of $\frac{3\sqrt{2}}{\sqrt{6}}$.
4. The conjugate of $(a + \sqrt{b})$ is .
5. To rationalise a denominator of the form $(c - \sqrt{d})$, you multiply by .
6. Rationalise the denominator of $\frac{1}{\sqrt{5} + \sqrt{2}}$.
7. Rationalise the denominator of $\frac{3}{4 - \sqrt{3}}$.
8. Rationalise the denominator of $\frac{\sqrt{7} + 1}{\sqrt{7} - 1}$.
9. Which of the following is the rationalised form of $\frac{2}{\sqrt{6}}$?
$2\sqrt{6}$
$\frac{\sqrt{6}}{3}$
$\frac{12}{\sqrt{6}}$
$\frac{1}{3}$
10. The rationalised form of $\frac{1}{\sqrt{7} - \sqrt{5}}$ is $\frac{\sqrt{7} + \sqrt{5}}{2}$.
True
False