Question

How do you write `3 sqrt x^2` as an exponential form?

Answer 1

`3(x^2)^(1/2)`

Explanation:

For every x, this has two values `+-3x`.

Note that #a^(1/n) has n real/complex values. The complex values occur in conjugate pairs.

In the case of `3sqrt(x^2=) 3(x^2)^(1/2)`, n = 2 and the two values are both real, `+-3x`.