Estimating Square Roots

In this worksheet, we will practise estimating square roots.

Method

We know the square numbers from 1² to 12²
i.e.,  1² = 1, 2² = 4, 3² = 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).