Solve for c
c=5
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6\sqrt{5}=6\sqrt{c}
Factor 180=6^{2}\times 5. Rewrite the square root of the product \sqrt{6^{2}\times 5} as the product of square roots \sqrt{6^{2}}\sqrt{5}. Take the square root of 6^{2}.
6\sqrt{c}=6\sqrt{5}
Swap sides so that all variable terms are on the left hand side.
\sqrt{c}=\sqrt{5}
Cancel out 6 on both sides.
c=5
Square both sides of the equation.
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