√95/3√5

Answer 1

To simplify the expression √95/3√5, you need to rationalize the denominator.

First, multiply both the numerator and denominator by the conjugate of the denominator, which is √5:

(√95/3√5) * (√5/√5)
= (√95 * √5) / (3 * √5 * √5)
= √475 / 3√25

Next, simplify the numerator and the denominator:

√475 = √(25 * 19) = √25 * √19 = 5√19

3√25 = 3 * √(5 * 5) = 3 * 5 = 15

Therefore, the simplified form of √95/3√5 is 5√19/15.