Question

Simplify the expression √75

Answer 1

`5√(3)`

Explanation:

`√(75)` can be rewritten as
`√(25 * 3)` or
`√(5 * 5 * 3)`

Since 25 (or 5 * 5) is a perfect square, we can take the root (5) out of the expression

`√(25) * √(3)` , which is
`5√(3)`

Answer 2

`= 5√(3)`

Explanation:

Simplify radical expression:

Prime factorize 75.

75 = 5 * 5 * 3

`√(75) = √(5*5*3)`

`= 5√(3)`