Solve for A
A=\frac{5\sqrt{5}}{C}
C\neq 0
Solve for C
C=\frac{5\sqrt{5}}{A}
A\neq 0
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AC=5\sqrt{5}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
CA=5\sqrt{5}
The equation is in standard form.
\frac{CA}{C}=\frac{5\sqrt{5}}{C}
Divide both sides by C.
A=\frac{5\sqrt{5}}{C}
Dividing by C undoes the multiplication by C.
AC=5\sqrt{5}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
\frac{AC}{A}=\frac{5\sqrt{5}}{A}
Divide both sides by A.
C=\frac{5\sqrt{5}}{A}
Dividing by A undoes the multiplication by A.
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