√95/3√5 provide an exact answer

Answer 1

To simplify the expression √95/3√5, we start by simplifying each square root separately.

We can simplify the square root of 95 by factoring it into prime numbers:
√95 = √(5 * 19)

Since 5 is a perfect square, we can take its square root:
√5 = 1 * √5

Therefore, we have:
√95 = √(5 * 19) = 1 * √5 * √19 = √5√19

Now let's simplify the expression further:
√95 / 3√5 = (√5√19) / 3√5

Since both the numerator and denominator have a common factor of √5, we can cancel them out:
(√5√19) / 3√5 = (√19) / 3

So, the exact answer is (√19) / 3.