Simplify the radical expression. Show all your steps.

Question

√363 − 3√27

Answer 1

To simplify the radical expressions, we first need to find the square root of each number inside the radical:

√363 = √(121 * 3) = 11√3

√27 = √(9 * 3) = 3√3

Now, substitute these results back into the original expression:

11√3 - 3(3√3)

Multiply out the terms:

11√3 - 9√3

Combine like terms:

(11 - 9)√3

Simplify further:

2√3

Therefore, √363 - 3√27 is equal to 2√3.