Divide 95√ / 3√5 . Provide an exact answer. (1 point)

Answer 1

To divide the given expression, we can simplify it by rationalizing the denominator.

Recall that when we have a square root in the denominator, we can multiply the numerator and denominator by the conjugate of the denominator to rationalize it.

In this case, the conjugate of √5 is also √5.

So, we can multiply the numerator and denominator by √5:

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

Simplifying gives:

(95√ * √5) / (3 * 5)

= (95 * √5 * √5) / 15

= (95 * 5) / 15

= 475 / 15

Now, we can simplify this further by dividing both the numerator and denominator by the greatest common divisor, which is 5:

475 / 15 = 95 / 3

So, the exact answer is 95 / 3.