Evaluate
4\sqrt{5}\approx 8.94427191
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3\sqrt{5}+\frac{\sqrt{10}}{\sqrt{2}}
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}.
3\sqrt{5}+\sqrt{5}
Rewrite the division of square roots \frac{\sqrt{10}}{\sqrt{2}} as the square root of the division \sqrt{\frac{10}{2}} and perform the division.
4\sqrt{5}
Combine 3\sqrt{5} and \sqrt{5} to get 4\sqrt{5}.
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