Rationalisation Worksheet

Rationalisation Worksheet

Read each question carefully and rationalize the denominator where indicated. Show all your work.

1. Rationalise the denominator of the following expressions:

a) 1/√2

b) 3/√5

c) 5/(2√3)

2. The conjugate of (a + √b) is  .

3. When multiplying a binomial by its conjugate, the result is always a  .

4. Which of the following is the conjugate of (√7 - 2)?

5. Rationalise the denominator of the following expressions:

a) 1/(√3 + 1)

b) 5/(2 - √5)

c) (√6 + √2)/(√6 - √2)

6. Rationalising the denominator means removing any surds from the numerator.

7. The expression (3 + √2)(3 - √2) simplifies to a rational number.

8. Simplify the following expression by rationalising the denominator: (√10 - √5)/(√10 + √5)