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3\times 3\sqrt{5}\sqrt{5}\sqrt{3}
Factor 15=5\times 3. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}.
3\times 3\times 5\sqrt{3}
Multiply \sqrt{5} and \sqrt{5} to get 5.
9\times 5\sqrt{3}
Multiply 3 and 3 to get 9.
45\sqrt{3}
Multiply 9 and 5 to get 45.