# Question #17490

##### 2 Answers

Mar 23, 2017

Between 7 and 8.

#### Explanation:

To determine this we must find the two perfect squares which surround 60. These are 49 and 64 which are the perfect squares of 7 and 8. Since 60 lies between 49 and 64 its square root will lie between 7 and 8.

Mar 23, 2017

#### Explanation:

Consider

#color(blue)"perfect squares"# less than 60 and just greater than 60.These are

#color(red)(49)" and " color(red)(64)#

#rArrsqrtcolor(red)(49) < sqrt60 < sqrtcolor(red)(64)#

#rArr7 < sqrt60 <8#