# Between what two consecutive integers is sqrt135?

Oct 21, 2016

the two consecutive numbers are 11 and 12
$11 < \sqrt{135} < 12$

#### Explanation:

${11}^{2} = 121$

and ${12}^{2} = 144$

so $121 < 135 < 144$

taking the square roots

$\sqrt{121} < \sqrt{135} < \sqrt{144}$

and finally
$11 < \sqrt{135} < 12$