Solve for m
m=\frac{8}{n}
n\neq 0
Solve for n
n=\frac{8}{m}
m\neq 0
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2\sqrt{mn}=4\sqrt{2}
Swap sides so that all variable terms are on the left hand side.
\frac{2\sqrt{nm}}{2}=\frac{4\sqrt{2}}{2}
Divide both sides by 2.
\sqrt{nm}=\frac{4\sqrt{2}}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{nm}=2\sqrt{2}
Divide 4\sqrt{2} by 2.
nm=8
Square both sides of the equation.
\frac{nm}{n}=\frac{8}{n}
Divide both sides by n.
m=\frac{8}{n}
Dividing by n undoes the multiplication by n.
2\sqrt{mn}=4\sqrt{2}
Swap sides so that all variable terms are on the left hand side.
\frac{2\sqrt{mn}}{2}=\frac{4\sqrt{2}}{2}
Divide both sides by 2.
\sqrt{mn}=\frac{4\sqrt{2}}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{mn}=2\sqrt{2}
Divide 4\sqrt{2} by 2.
mn=8
Square both sides of the equation.
\frac{mn}{m}=\frac{8}{m}
Divide both sides by m.
n=\frac{8}{m}
Dividing by m undoes the multiplication by m.
Examples
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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