The words squared and square root are opposites.

We should know that 0.3 squared = 0.09 because 0.3 x 0.3 = 0.09

We write this as 0.3² = 0.09

And so the square root of 0.09 = 0.3

We write this as √0.09 = 0.3

Example

Work out √0.49 and √0.0001

Answer

√0.49 = 0.7 because 0.7² = 0.49

 √0.0001 = 0.01 because 0.01² = 0.01 x 0.01 = 0.0001

If you find some of these hard to do, remember to count the number of decimal places in the question and make sure that you have the same number of decimal places in the answer!

 √0.0001 has four decimal places, so we know that we must have four decimal places in the answer:

0.01 x 0.01 is four decimal places!

Time for some questions now.