Question

Write √−20 in simplest radical form

Answer 1

if the minus is inside of the root it is undefined but if it's outside then it will become -2√5

Answer 2

2i√5

Explanation:

Since √-20 is negative and therefore is not a real number, first change it to i√20, to resolve this. Next, find the two closest factors of 20:

1, 20

2, 10

4, 5

Then factor them once again:

2, 2, 5

After this, you get that √20= √2*√2*√5. With this, combine the two √2 to get 2 *√5. Lastly bring back the imaginary letter i, to get 2i√5.

Hope that helps.