simplify the radical expression, show all your steps.

Question

sqrt 363 - 3 sqrt27

Answer 1

First, let's simplify the radical expressions inside the square roots:

√363 = √(121 * 3) = √121 * √3 = 11√3

√27 = √(9 * 3) = √9 * √3 = 3√3

Now let's substitute those simplified expressions back into the original expression:

11√3 - 3(3√3)
= 11√3 - 9√3
= (11 - 9)√3
= 2√3

Therefore, the simplified expression is 2√3.