√363 - 3√27

Question

simplify the radical expression. show all your steps

Answer 1

√363 - 3√27

First, we need to simplify the radicals.

√363 = √(121 * 3) = √(11^2 * 3) = 11√3

√27 = √(9 * 3) = √(3^2 * 3) = 3√3

Now we can substitute these simplified radicals back into the original expression:

11√3 - 3(3√3)

Now we distribute the 3:

11√3 - 9√3

Now we combine like terms:

11√3 - 9√3 = 2√3

So, √363 - 3√27 simplifies to 2√3.