Question

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. ____ < square root of 181 < _____

Answer 1

`13<√(181)<14`.

Explanation:

We have been given an inequality ___
`<√(181)<`___. We are asked to fill in the blank with two consecutive integers to complete the given inequality.

We know that square root of 181 is not an integer. We can see that 181 is greater than square root 169 and and square root of 196.

`√(169)<√(181)<√(196)`

We know that
`√(169)=13` and
`√(196)=14`.

Therefore, our required inequality would be
`13<√(181)<14`.