Question

How do you simplify `sqrt(-52)`?

Answer 1

The number `sqrt (-52)` is a pure imaginary number.

It may be written as `sqrt (52).sqrt (-1)` .
Now writing `sqrt (-1) = i`, `implies sqrt (-52) = sqrt (52)i` .

Now, `52 = 13 * 4`, thus `sqrt (-52) = sqrt (13 * 4)i = 2 sqrt(13)i`.

That's all the simplification, one can do.