Question

divide sqrt(95)/3sqrt(5) as a fraction too

Answer 1

To divide sqrt(95) by 3sqrt(5), we can rationalize the denominator.

Let's first rewrite sqrt(95) as sqrt(19*5):

sqrt(95) = sqrt(19*5) = sqrt(19) * sqrt(5)

Now, we can divide sqrt(95) by 3sqrt(5):

sqrt(95) / 3sqrt(5) = (sqrt(19) * sqrt(5)) / (3 * sqrt(5))

Next, cancel out the sqrt(5) terms:

sqrt(19) / 3

Therefore, sqrt(95) / 3sqrt(5) is equal to sqrt(19) / 3.