Evaluate
27\sqrt{5}\approx 60.373835392
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3\times 5\sqrt{5}+4\sqrt{45}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
15\sqrt{5}+4\sqrt{45}
Multiply 3 and 5 to get 15.
15\sqrt{5}+4\times 3\sqrt{5}
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
15\sqrt{5}+12\sqrt{5}
Multiply 4 and 3 to get 12.
27\sqrt{5}
Combine 15\sqrt{5} and 12\sqrt{5} to get 27\sqrt{5}.
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