Question

How do you write `nsqrt3sqrt2` as a fractional exponent?

Answer 1

`(6n)/sqrt6`

Explanation:

Note that `sqrt(3)sqrt(2)=sqrt(2xx3)`

If you are not sure about this consider:
`sqrt(4)sqrt(4) = 4= sqrt(4xx4)`

So we have: `nsqrt(3)sqrt(2)=nsqrt(6)`

Multiply by 1 and you do not change the value. However, 1 comes in many forms.

`color(green)(nsqrt(6)color(red)(xx1) color(white)("dddd")=color(white)("dddd") nsqrt(6)color(red)(xxsqrt6/sqrt6)`

`color(green)(color(white)("dddddddddd")->color(white)("dddd") (6n)/sqrt6)`