Final answer:
To simplify the expression √5 * (6-4√3), distribute the square root to each term inside the parentheses and simplify each term. The simplified expression is 6√5 - 4√15.
Step-by-step explanation:
To simplify the expression √5 * (6-4√3), we can distribute the square root to each term inside the parentheses and then simplify further.
√5 * (6-4√3) = √5 * 6 - √5 * 4√3
Now, simplify each term:
√5 * 6 = 6√5
√5 * 4√3 = 4√5 * √3 = 4√15
Putting it all together, the simplified expression is: 6√5 - 4√15.