\sqrt{ 45 } +3 \sqrt[ ]{ 20 } + \sqrt{ 80 } -4 \sqrt[ ]{ 40 }
Evaluate
13\sqrt{5}-8\sqrt{10}\approx 3.770662426
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3\sqrt{5}+3\sqrt[2]{20}+\sqrt{80}-4\sqrt[2]{40}
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}+3\sqrt[2]{20}+4\sqrt{5}-4\sqrt[2]{40}
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}.
7\sqrt{5}+3\sqrt[2]{20}-4\sqrt[2]{40}
Combine 3\sqrt{5} and 4\sqrt{5} to get 7\sqrt{5}.
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Simultaneous equation
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Limits
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