simplify the radical expression show all your steps

Question

square root 363 -3 squared root 27

Answer 1

√363 - 3√27

First, we need to simplify √363 and √27 separately:

√363 = √(9 * 40.33) = 3√40.33

√27 = √(9 * 3) = 3√3

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

3√40.33 - 3(3√3)

Now distribute the 3 on the second term:

3√40.33 - 9√3

So, the simplified radical expression is 3√40.33 - 9√3.