SOLUTION: Simplify {{{sqrt(-32)}}}

Question 90036: Simplify

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Factor out a -1

Break up the root

Replace with i

Now lets simplify :

So let's list the factors of 32
Factors:
1, 2, 4, 8, 16, 32

Notice how 16 is the largest perfect square, so lets factor 32 into 16*2

Factor 32 into 16*2

Break up the square roots using the identity

Take the square root of the perfect square 16 to get 4

So the expression simplifies to

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Answer:
So simplifies to
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