SOLUTION: radical -5 * radical -2 type answer in a+bi form ..use radicals as needed. Thank you!

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Question 542994: radical -5 * radical -2
type answer in a+bi form ..use radicals as needed.
Thank you!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
radical -5 * radical -2
sqrt%28-5%29+%2A+sqrt%28-2%29
:
Write it
sqrt%28-1%2A5%29+%2A+sqrt%28-1%2A2%29
:
The square root of -1 = i so we have
i%2Asqrt%285%29 * i%2Asqrt%282%29 = i%5E2%2Asqrt%285%2A2%29
:
i^2 = -1 therefore
-1%2Asqrt%2810%29 = -sqrt%2810%29