Question

Which expression is equivalent to √36/25?

A) 6/25
B) 5/6
C) 6/5
D) 36/25

Answer 1

SQRT the top, and SQRT the bottom. SQRT of 36 is 6, SQRT of 25 is 5, so 6/5

Answer 2

C)
`(6)/(5)`.

Explanation:

Given :
`\sqrt{(36)/(25) }`.

To find : Which expression is equivalent.

Solution : We have given
`\sqrt{(36)/(25) }`.

By the radical rule
`\sqrt{(a)/(b) }` =
`(√(a) )/(√(b))`.

Then
`\sqrt{(36)/(25) }` =
`(√(36))/(√(25))`.

`\sqrt{(36)/(25) }` =
`(6)/(5)`.

Therefore, C)
`(6)/(5)`.