Evaluate
3375\sqrt{3}\approx 5845.671475545
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\sqrt{3125}\times 3^{3}\sqrt{15}
Calculate 5 to the power of 5 and get 3125.
25\sqrt{5}\times 3^{3}\sqrt{15}
Factor 3125=25^{2}\times 5. Rewrite the square root of the product \sqrt{25^{2}\times 5} as the product of square roots \sqrt{25^{2}}\sqrt{5}. Take the square root of 25^{2}.
25\sqrt{5}\times 27\sqrt{15}
Calculate 3 to the power of 3 and get 27.
675\sqrt{5}\sqrt{15}
Multiply 25 and 27 to get 675.
675\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}.
675\times 5\sqrt{3}
Multiply \sqrt{5} and \sqrt{5} to get 5.
3375\sqrt{3}
Multiply 675 and 5 to get 3375.
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