# Between which two consecutive numbers of the square root of 90 lie?

May 10, 2018

$9 < \sqrt{90} < 10$

#### Explanation:

We all know that every square root lies between the square root of two perfect squares.

$\therefore$ As per the question,

$\sqrt{90}$ also lies between the square root of two perfect squares i.e $\sqrt{81}$ and $\sqrt{100}$

$\therefore \sqrt{81} < \sqrt{90} < \sqrt{100}$

$\therefore 9 < \sqrt{90} < 10$

Hence, $\sqrt{90}$ lies between the consecutive numbers 9 and 10.