What are the square roots of(64)/(144)? A.)-(4)/(9) and (4)/(9) B.)-(32)/(72) and(32)/(72) C.)-(8)/(12) and (8)/(12) D.)-(4)/(12) and (4)/(12)

Question

What are the square roots of
`(64)/(144)`?

A.)
`-(4)/(9) and (4)/(9)`
B.)
`-(32)/(72) and(32)/(72)`
C.)
`-(8)/(12) and (8)/(12)`
D.)
`-(4)/(12) and (4)/(12)`

Answer 1

C.

Explanation:

Since we aren’t taking the principal square roots of 64/144, we get 2 answers. So simplifying the square root of 64/144, we can take the square root of 64 and then the square root of 144. The principal square root of 64 is 8, and the principal square root of 144 is 12. So C. Is the right answer because the answer can be plus minus 8/12.