Home > Pre-Algebra > Roots > Estimating Square Roots

## Estimating Square Roots

#### Introduction

#### Terms

## Examples

Which two integers is $\sqrt{20}$ between?

The perfect square just below $20$ is $16$

$\sqrt{16} = 4$

The perfect square just above $20$ is $25$

$\sqrt{25} = 5$

Which two integers is $\sqrt{75}$ between?

The perfect square just below $75$ is $64$

$\sqrt{64} = 8$

The perfect square just above $75$ is $81$

$\sqrt{81} = 9$

Which two integers is $\sqrt{37}$ between?

The perfect square just below $37$ is $36$

$\sqrt{36} = 6$

The perfect square just above $37$ is $49$

$\sqrt{49} = 7$

Which two integers is $\sqrt{99}$ between?

The perfect square just below $99$ is $81$

$\sqrt{81} = 9$

The perfect square just above $99$ is $100$

$\sqrt{100} = 10$