SOLUTION: simplify please help me learn this and show all work. -sqrt(3) (sqrt (-3)

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Question 93427This question is from textbook
: simplify please help me learn this and show all work. -sqrt(3) (sqrt (-3) This question is from textbook

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression
Combine the roots using the identity

Multiply

Now lets focus on

Solved by pluggable solver: Simplifying Square Roots (whole numbers only)


Start with the given expression


Factor out a negative 1


Break up the square roots using the identity


Replace with (remember )



Now lets simplify :





Since 9 is a perfect square, we can take the square root of 9 to get a clean number



So simplifies to (just reintroduce back in)



So (just reintroduce the negative back in)

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