Evaluate
8\sqrt{5}-3\sqrt{3}\approx 12.692391397
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-3\sqrt{3}+2\sqrt{5}+2\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}.
-3\sqrt{3}+2\sqrt{5}+6\sqrt{5}
Multiply 2 and 3 to get 6.
-3\sqrt{3}+8\sqrt{5}
Combine 2\sqrt{5} and 6\sqrt{5} to get 8\sqrt{5}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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