Question

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

Answer 1

`9 < sqrt90 < 10`

Explanation:

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

`:.` As per the question,

`sqrt90` also lies between the square root of two perfect squares i.e `sqrt81` and `sqrt100`

`:.sqrt81 < sqrt90 < sqrt100`

`:. 9 < sqrt90 < 10`

Hence, `sqrt90` lies between the consecutive numbers 9 and 10.