15 square root of 90 divided by Square root of 125
To simplify the expression:
√90 / √125
First, simplify the square roots separately:
√90 = √(9 * 10) = √9 * √10 = 3 * √10
√125 = √(5 * 5 * 5) = √5 * √5 * √5 = 5 * 5 * √5 = 25√5
Now, substitute the simplified values back into the expression:
(3 * √10) / (25√5)
Since the square root terms are different, we cannot cancel them out. Thus, we leave them as they are:
(3 * √10) / (25√5)
This is the simplified expression.