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\sqrt{4500\times 0.75}
Multiply 30 and 150 to get 4500.
\sqrt{3375}
Multiply 4500 and 0.75 to get 3375.
15\sqrt{15}
Factor 3375=15^{2}\times 15. Rewrite the square root of the product \sqrt{15^{2}\times 15} as the product of square roots \sqrt{15^{2}}\sqrt{15}. Take the square root of 15^{2}.