Question

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

Answer 1

4i
`√(2)`

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

Explanation:

Factorize 32 and i² = -1

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