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

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Answer 1 · 2018-03-04T14:33:42

$(6n)/sqrt6$

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.

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

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

How do you write nsqrt3sqrt2nsqrt3sqrt2 as a fractional exponent?