Question

Which point best approximates the square root of 45?

Answer 1

C

Explanation:

Note that

`√(36)` <
`√(45)` <
`√(49)`, that is

6 <
`√(45)` < 7

The square root lies between 6 and 7 → point C

Answer 2

Since

`6^2 = 36,\quad 7^2 = 49`

Then we have

`6 = √(36)<√(45)<√(49)=7`

So, the square root of 45 is somewhere between 6 and 7.