What is ((sqrt(m/n)+sqrt(n/m)))/(sqrt(1/(mn))) ?

The solution to ((sqrt(m/n)+sqrt(n/m)))/(sqrt(1/(mn))) is (sqrt(m/n)+sqrt(n/m))sqrt(mn)

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simplify ((sqrt(m/n)+sqrt(n/m)))/(sqrt(1/(mn)))

simplify

\frac{( \frac{m}{n} + \frac{n}{m} )}{\frac{1}{mn}}

(\frac{m}{n} + \frac{n}{m}) mn

Solution steps

\frac{\frac{m}{n} + \frac{n}{m}}{\frac{1}{mn}}

Simplify

\frac{1}{mn} : \frac{1}{mn}

= \frac{\frac{m}{n} + \frac{n}{m}}{\frac{1}{mn}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( \frac{m}{n} + \frac{n}{m} ) mn}{1}

Apply the fraction rule:

\frac{a}{1} = a

= (\frac{m}{n} + \frac{n}{m}) mn

\frac{x ^{3} - 5 x ^{2}}{8 x ^{2}}

\frac{7 p - 7 p}{p} \cdot \frac{2 p ^{2}}{8 p - 8}

- x \cdot 3 x

\frac{1}{( \frac{0.000002}{800} ) ^{2} + \frac{1}{300000000}}

What is ((sqrt(m/n)+sqrt(n/m)))/(sqrt(1/(mn))) ?
The solution to ((sqrt(m/n)+sqrt(n/m)))/(sqrt(1/(mn))) is (sqrt(m/n)+sqrt(n/m))sqrt(mn)