How do you write $n \sqrt{3} \sqrt{2}$ $nsqrt3sqrt2$ as a fractional exponent?

Question

How do you write $n \sqrt{3} \sqrt{2}$ $nsqrt3sqrt2$ as a fractional exponent?

1 Answer

Impact of this question

1787 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T14:33:42

$\frac{6 n}{\sqrt{6}}$ $(6n)/sqrt6$

Explanation:

Note that $\sqrt{3} \sqrt{2} = \sqrt{2 \times 3}$ $sqrt(3)sqrt(2)=sqrt(2xx3)$

If you are not sure about this consider:
$\sqrt{4} \sqrt{4} = 4 = \sqrt{4 \times 4}$ $sqrt(4)sqrt(4) = 4= sqrt(4xx4)$

So we have: $n \sqrt{3} \sqrt{2} = n \sqrt{6}$ $nsqrt(3)sqrt(2)=nsqrt(6)$

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

$n \sqrt{6} \times 1 dddd = dddd n \sqrt{6} \times \frac{\sqrt{6}}{\sqrt{6}}$ $color(green)(nsqrt(6)color(red)(xx1) color(white)("dddd")=color(white)("dddd") nsqrt(6)color(red)(xxsqrt6/sqrt6)$

$dddddddddd \to dddd \frac{6 n}{\sqrt{6}}$ $color(green)(color(white)("dddddddddd")->color(white)("dddd") (6n)/sqrt6)$

Science

Math

Humanities

... and beyond

How do you write $n \sqrt{3} \sqrt{2}$ $nsqrt3sqrt2$ as a fractional exponent?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you write n√3√2nsqrt3sqrt2 as a fractional exponent?

1 Answer

Explanation:

Related questions

Impact of this question

How do you write $n \sqrt{3} \sqrt{2}$ $nsqrt3sqrt2$ as a fractional exponent?