SOLUTION: please simplify this expression: 5 square root 15 times (-2 square root 3)

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Question 389875: please simplify this expression:
5 square root 15 times (-2 square root 3)

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

This expression is all multiplication. So we can use the Commutative and Associative properties to rearrange the order and grouping to:

Multiplying the first part is simple. We use the property of radicals, , to multiply the square roots:

Last of all we simplify. We can simplify because it has a perfect square factor, 9:

Now we can use the property of radicals (from right to left) to separate the factors into their won square roots:

Since this becomes:

which simplifies to:

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