Question

On a number line, the irrational number √ 165 lies closest to which whole number? Enter the whole number nearest to √ 165 in the box.

Answer 1

13

Explanation:

to find which number is cosest to
`√(165)`

Consider the perfect squares on either side of 165 , that is

144 < 165 < 169 , then

`√(144)` <
`√(165)` <
`√(169)` , that is

12 <
`√(165)` < 13

now 165 is closer to 169 than it is to 144 , so

`√(165)` is closest to 13