Subtract two surds
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Lesson details
Key learning points
- In this lesson, we will learn how to subtract one surd from another where no prior simplification is needed.In these cases, the surds will all have the same root.
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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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3 Questions
Q1.
Which number is not a surd?
√2
√5
√7
Q2.
Simplify 6√7+5√7
√7
11√14
30√7
Q3.
A piece of wood has been cut up into three equal pieces as shown. What was the original total length of the piece of wood?
4√5
6√15
8√5
3 Questions
Q1.
Simplify 6√2 - 4√2
√2
10√2
2
Q2.
Simplify 6√7 - 5√7
11√14
30√7
Option 4
Q3.
A piece of wood is shown. It is 7√5 m long. A piece of length 2√5 m is cut away. How long is the piece of wood now?
14√5 m
15√5 m
9√5 m