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Estimating Square Roots

In this worksheet, students practise estimating square roots.

'Estimating Square Roots' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

In this worksheet, we will practise estimating square roots.


We know the square numbers from 12 to 122
i.e.,  1= 1, 2= 4, 3= 9 etc.

We can estimate the square roots of numbers between the square numbers.

√7 is between √4 and √9  ie. 2 and 3.

So √7 is approximately 2.6  (7 is nearer to 9 than to 4)

√59 is between √49 and √64 between 7 and 8.

approximately 7.7 (nearer to 8).

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