# Manipulating surds

## Switch to our new maths teaching resources

Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

Play new resources video

## Lesson details

### Key learning points

- In this lesson, we will look at basic surd rules in particular multiplication and division.

### Licence

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.

Loading...

### 7 Questions

Q1.

Which of the following is a surd

A

C

D

Q2.

Which of the following is NOT a surd

Option 1

B

C

Q3.

Evaluate √144

1.44

72

Q4.

A right- angled triangle has sides a, b and c as show in the diagram. What is the correct formula to find the length a.

A

B

C

Q5.

A right- angled triangle is shown in the diagram below. Find the length of the hypotenuse.

116

14

28

Q6.

A right- angled triangle is shown int he diagram below. Find the length of the missing side.

√135

√33

153

Q7.

A right- angled triangle is shown int he diagram below. Find the length of the missing side.

√146

36

96

### 5 Questions

Q1.

Work out √16

2

8

Q2.

Which of the following is NOT equivalent to 2 × √9

2√9

6

Q3.

What is √4×√4

16

8

Q4.

True or False?

False

Q5.

What is √9−√4 ?

2

3

4

5