I don't know how to do this type of problem: 6 radical 3(5 radical6-3 radical 10 ) I need help fast
6√3(5√6 - 3√10)
= 30√18 - 18√30
= 30√9√2 - 18√30
= 90√2 - 18√30
Thanks
Sure! I can help you with that. The given expression is: 6√3(5√6-3√10)
To simplify this expression, we will start by applying the distributive property.
Step 1: Distribute 6√3 to each term inside the parentheses:
6√3 * 5√6 = 30√18
6√3 * -3√10 = -18√30
Step 2: Simplify the square roots:
30√18 = 30√(9*2) = 30 * 3√2 = 90√2
-18√30 = -18√(9*2) = -18 * 3√2 = -54√2
Step 3: Combine like terms:
90√2 - 54√2 = 36√2
Therefore, the simplified expression is 36√2.