# 1.04 Estimating square roots

Lesson

Previously we have looked at evaluating square roots of perfect squares such as $\sqrt{25}$25 or $\sqrt{361}$361. Most of the time when we take square roots it will not be of a perfect square. We can use calculators or estimate in this case.

This applet can help you to learn the first $20$20 perfect squares from $1$1 to $400$400.

 Created with Geogebra

There are also some ways to approximate square roots without using a calculator directly. One way is to consider the nearest integer value as a way to estimate or check our work.

Estimating square roots

### Outcomes

#### 8.3a

Estimate and determine the two consecutive integers between which a square root lies