Question

Evaluate the expression √-64 and write the result in the form a+bi.

Answer 1

You need to use the following properties:

√(-1) = i

√(a*b) = √(a) * √(b)

So, we can express √(-64) as:

√(-64) = √(64) * √(-1)

√(64) = 8

Therefore:

√(-64) = 8*i = 8i

A complex number is given by:

z = a + ib

In this case:

a = 0

b = 8