# How do you know whether #sqrt38# is is closer to 6 or 7 without using a calculator?

##### 1 Answer

Nov 7, 2016

Closer to 6

#### Explanation:

It is true that we can look at this and think the answer is closer to 6 but can we prove it??

Look at the half way point 6.5

6.5x 6.5

(6x 6.5 ==39, 0.5x 6.5= 3.25)

38<42.25 so