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3\sqrt{5}+2\times 3\sqrt{5}-\sqrt{80}
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}+6\sqrt{5}-\sqrt{80}
Multiply 2 and 3 to get 6.
9\sqrt{5}-\sqrt{80}
Combine 3\sqrt{5} and 6\sqrt{5} to get 9\sqrt{5}.
9\sqrt{5}-4\sqrt{5}
Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.
5\sqrt{5}
Combine 9\sqrt{5} and -4\sqrt{5} to get 5\sqrt{5}.