# Explain why the square root of 89 must be between 9 and 10?

##### 2 Answers

Jun 1, 2016

Evaluating the square of

#### Explanation:

Recall that the square root is the inverse operation of the square.

Then we can see that the square of

and the square of

comparing with

Doing the square root we have

We proved that the square root of

Jun 1, 2016

#### Explanation:

We have

and

which means that if

then