Question

How do you simplify complex number of √ -32 Please explain thanks

Answer 1

Answer:

4i$\sqrt{2}$

Step-by-step explanation:

break up the radicand up into product of known factors 4 and 2. In this case its a negative so you put an i to indicate imaginary number because you can't rationally find the square root of a negative number

Answer 2

Answer:

Step-by-step explanation:

Factorize 32 and i² = -1

$\sqrt{-32}=\sqrt{32*(-1)}\\\\ =\sqrt{2*2*2*2*2*i^{2}}\\\\=2*2*i\sqrt{2}\\\\=4i\sqrt{2}$