SOLUTION: Hi can you please explain to me how i would solve the square root of -16 with i as the term? We're learning imaginary numbers. Thank you.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Hi can you please explain to me how i would solve the square root of -16 with i as the term? We're learning imaginary numbers. Thank you.      Log On


   

Question 768963: Hi can you please explain to me how i would solve the square root of -16 with i as the term? We're learning imaginary numbers. Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28+-16+%29+=+sqrt%28+-1%2A16+%29+
+sqrt%28+-16+%29+=+sqrt%28+-1+%29+%2A+sqrt%28+16+%29+
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Note that +sqrt%28+-1+%29+=+i+
+sqrt%28+-16+%29+=+4i+
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also note that +sqrt%28+16+%29+ has
a negative answer, too, so:
+sqrt%28+-16+%29+=-4i+
Those are the 2 solutions