Question

Evaluate the expression

√

−

49

and write the result in the form

a

+

b

i

.

Answer 1

0+7i

Explanation:

`√(-49)=√(49)√(-1)=7i=\boxed{0+7i}`

The real part of the expression ('a') is zero. We have shown that, so it will be in the required form. Ordinarily, 0 would not be shown when writing this number.

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We have taken the question to mean the principal square root. -7i is also a root of -49.