Question

Which two square roots are used to estimate Start Root 8 End Root?
A. Start Root 2 End Root and Start Root 3 End Root
B. Start Root 3 End Root and Start Root 4 End Root
C. Start Root 4 End Root and Start Root 9 End Root
D. Start Root 9 End Root and Start Root 16 End Root

Answer 1

well √4 = 2
and √9 = 3
so √8 must be between 2 and 3, closer to 3, since 8 is closer to 9 than to 4

Answer 2

The square root of a perfect square is a whole number.

The square root of a number which is not a perfect square is not a whole number.

You can estimate it finding two perfect square roots that number is between.

4 and 9 are perfect square because:

4 = 2²

9 = 3²

8 is between 4 and 9.

Therefore, √4 and √9 are used to estimate √8.