√3 - 5√108 + 1/2√12
First, let's simplify the square roots:
√3 = √3√108 = √(363) = 6√3√12 = √(43) = 2√3
Now substitute these values back into the original expression:
√3 - 5(6√3) + 1/2(2√3)√3 - 30√3 + √3-29√3 + √3-28√3
Therefore, the simplified expression is -28√3.
√3 - 5√108 + 1/2√12
First, let's simplify the square roots:
√3 = √3
√108 = √(363) = 6√3
√12 = √(43) = 2√3
Now substitute these values back into the original expression:
√3 - 5(6√3) + 1/2(2√3)
√3 - 30√3 + √3
-29√3 + √3
-28√3
Therefore, the simplified expression is -28√3.