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15\sqrt{3}=5\times 3\sqrt{3}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
15\sqrt{3}=15\sqrt{3}
Multiply 5 and 3 to get 15.
15\sqrt{3}-15\sqrt{3}=0
Subtract 15\sqrt{3} from both sides.
0=0
Combine 15\sqrt{3} and -15\sqrt{3} to get 0.
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Compare 0 and 0.
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