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AP=6\sqrt{10}
Factor 360=6^{2}\times 10. Rewrite the square root of the product \sqrt{6^{2}\times 10} as the product of square roots \sqrt{6^{2}}\sqrt{10}. Take the square root of 6^{2}.
PA=6\sqrt{10}
The equation is in standard form.
\frac{PA}{P}=\frac{6\sqrt{10}}{P}
Divide both sides by P.
A=\frac{6\sqrt{10}}{P}
Dividing by P undoes the multiplication by P.
AP=6\sqrt{10}
Factor 360=6^{2}\times 10. Rewrite the square root of the product \sqrt{6^{2}\times 10} as the product of square roots \sqrt{6^{2}}\sqrt{10}. Take the square root of 6^{2}.
\frac{AP}{A}=\frac{6\sqrt{10}}{A}
Divide both sides by A.
P=\frac{6\sqrt{10}}{A}
Dividing by A undoes the multiplication by A.