simplify the radical expression show all your steps
square root 363 -3 squared root 27
√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.