To simplify the expression, we first need to simplify the radicals.
√18 = √(92) = 3√2√8 = √(42) = 2√2√32 = √(162) = 4√2√50 = √(252) = 5√2
Now substitute these simplified radicals back into the original expression:
(2(3√2)+3(2√2)) + (3(4√2) - 5√2)= 6√2 + 6√2 + 12√2 - 5√2= 18√2 - 5√2= 13√2
So, the simplified expression is 13√2.
To simplify the expression, we first need to simplify the radicals.
√18 = √(92) = 3√2
√8 = √(42) = 2√2
√32 = √(162) = 4√2
√50 = √(252) = 5√2
Now substitute these simplified radicals back into the original expression:
(2(3√2)+3(2√2)) + (3(4√2) - 5√2)
= 6√2 + 6√2 + 12√2 - 5√2
= 18√2 - 5√2
= 13√2
So, the simplified expression is 13√2.