put the steps in order used to simplify the following. Not all options will be used 3√12 + 5√3 - 3√24
1. Simplify the square roots:
√12 = 2√3
√24 = 2√6
2. Substitute the simplified square roots back into the original expression:
3√12 + 5√3 - 3√24 = 3(2√3) + 5√3 - 3(2√6)
3. Combine like terms:
3(2√3) + 5√3 - 3(2√6) = 6√3 + 5√3 - 6√6
4. Combine like terms:
(6√3 + 5√3) - 6√6 = 11√3 - 6√6
The simplified expression is 11√3 - 6√6.