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

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Answer 1 · 2016-06-04T07:05:49

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.

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