Year 10
Higher
Year 10
Higher

Rationalising Surds (Part 1)

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Lesson details

Key learning points

  1. In this lesson, we will learn how to rationalise a fraction with a surd in the denominator. We will investigate the concept of rationalising a denominator and explain why this helps simplify our fraction.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
2√10 ÷ 2√5 =
Correct answer: √2
√5
1
2
Q2.
9√15 ÷ 3√5 =
√3
Correct answer: 3√3
5
The square root of two
Q3.
True or False 4√8 = 8√2
False
Correct answer: True
Q4.
An image in a quiz
√2
√8
2
Correct answer: 4
Q5.
An image in a quiz
Correct answer: Equals one
Is greater than one
Is less than 1
None of these

4 Questions

Q1.
Rationalise 2 ÷√2
Correct answer: √2
1
2
2√2
Q2.
Rationalise
An image in a quiz
Option 1
Correct answer: Option 2
Option 3
None of these
Q3.
Rationalise
An image in a quiz
Option 1
Option 2
Correct answer: 3√3
Option 4
Q4.
Rationalise
An image in a quiz
Option 1
Option 2
Option 3
Correct answer: Option 4