3 square root of 12+ 5 square root of 3-square root of3 24
To simplify the expression:
3√12 + 5√3 - √324
First, simplify each square root separately:
√12 = √(4 * 3) = √4 * √3 = 2√3
√3 remains unchanged.
√324 = √(36 * 9) = √36 * √9 = 6 * 3 = 18
Now substitute these values back into the original expression:
3(2√3) + 5√3 - 18
6√3 + 5√3 - 18
Combine like terms:
11√3 - 18
So, the simplified expression is 11√3 - 18.