First, let's simplify the square roots:√27 = 3√3√24 = 2√6
Now we substitute these simplified values back into the expression:
(3√3 + 2√6)√3 - 6√2= 3√3√3 + 2√6√3 - 6√2= 33 - 6√2= 9 - 6√2
Therefore, the simplified expression is 9 - 6√2.
First, let's simplify the square roots:
√27 = 3√3
√24 = 2√6
Now we substitute these simplified values back into the expression:
(3√3 + 2√6)√3 - 6√2
= 3√3√3 + 2√6√3 - 6√2
= 33 - 6√2
= 9 - 6√2
Therefore, the simplified expression is 9 - 6√2.