# Estimate the Square Roots of Numbers

In this worksheet, students state two numbers between which the given square roots lie.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Understand Order for All Numbers

Difficulty level:

#### Worksheet Overview

In this worksheet, you have to give two whole numbers between which the given square roots lie.

It is possible to estimate the square root of a number by finding a square number on either side of it.

You must know your square numbers up to 144, or more if you are interested.

Example

√92 lies between √81 (9) and √100 (10), but note that 92 is nearer to 100.

We can estimate √92 as approximately 9.6 but we know for sure that it lies between 9 and 10.

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