Question

Which point best approximates 45?

Answer 1

C

Step-by-step explanation:

√45 is irrational, so to approximate where it goes on the number line, you should find the closest squares to it, which are 36 and 49. These numbers are the squares of 6 and 7, so √45 can't be A, B, or D, as none of them are between 6 and 7. Only C is, and as √45 is closer to √49 than √36, it should be closer to 7 in the number line, but still in between both of them.

Hope this helps !! :D

Answer 2

C

Step-by-step explanation:

if we consider perfect squares either side of 45 , that is

36 < 45 < 49 , then

`√(36)` <
`√(45)` <
`√(49)` , so

6 <
`√(45)` < 7

thus
`√(45)` is between 6 and 7 , that is point C on the number line