√95/3√5 provide an exact answer
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.