Evaluate
120\sqrt{5}\approx 268.3281573
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\sqrt{20}\sqrt{45}\sqrt{20}\sqrt{4}
Factor 80=20\times 4. Rewrite the square root of the product \sqrt{20\times 4} as the product of square roots \sqrt{20}\sqrt{4}.
20\sqrt{45}\sqrt{4}
Multiply \sqrt{20} and \sqrt{20} to get 20.
20\times 3\sqrt{5}\sqrt{4}
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}.
60\sqrt{5}\sqrt{4}
Multiply 20 and 3 to get 60.
60\sqrt{5}\times 2
Calculate the square root of 4 and get 2.
120\sqrt{5}
Multiply 60 and 2 to get 120.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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