√5(3√5-2√5)

To solve this expression, we need to simplify the terms inside the parentheses before multiplying by the square root of 5.

Inside the parentheses, we have the expression 3√5 - 2√5. Since both terms have the same square root of 5, we can combine them:

3√5 - 2√5 = (3 - 2)√5 = 1√5

Now, we can multiply this result by the square root of 5.

√5(1√5) = √5 * 1√5 = √(5 * 1 * 5) = √(25) = 5

Therefore, the simplified result is 5.