How do you simplify √−3√−12?
1 Answer
Oct 30, 2017
Explanation:
What is interesting about this example is that it is a counterexample to the often quoted "identity":
√a√b=√ab
In fact this identity only holds if at least one of
By convention, the principal square root of a negative number
√n=i√−n
So:
√−3√−12=i√3⋅i√12=i2√3√12=−1⋅√3⋅12=−√36=−6