Divide √ 95 3 √ 5 . Provide an exact answer.

Answer 1

To divide √95 by 3√5, we can first simplify the square root by breaking down 95 and 5 into their prime factors.

√95 = √(5*19) = √5 * √19 = √5 √19
3√5 = 3√5

Therefore, the division becomes:
(√5 √19) / (3 √5)

Since √5 cancels out from the numerator and denominator, we are left with:
√19 / 3

Therefore, the exact answer is √19 / 3.