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135\sqrt{6\times 4}
Multiply 3 and 45 to get 135.
135\sqrt{24}
Multiply 6 and 4 to get 24.
135\times 2\sqrt{6}
Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.
270\sqrt{6}
Multiply 135 and 2 to get 270.