Evaluate
8\sqrt{7}\approx 21.166010489
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\sqrt{2}\sqrt{324-25\times 4}
Calculate 18 to the power of 2 and get 324.
\sqrt{2}\sqrt{324-100}
Multiply 25 and 4 to get 100.
\sqrt{2}\sqrt{224}
Subtract 100 from 324 to get 224.
\sqrt{2}\times 4\sqrt{14}
Factor 224=4^{2}\times 14. Rewrite the square root of the product \sqrt{4^{2}\times 14} as the product of square roots \sqrt{4^{2}}\sqrt{14}. Take the square root of 4^{2}.
\sqrt{2}\times 4\sqrt{2}\sqrt{7}
Factor 14=2\times 7. Rewrite the square root of the product \sqrt{2\times 7} as the product of square roots \sqrt{2}\sqrt{7}.
2\times 4\sqrt{7}
Multiply \sqrt{2} and \sqrt{2} to get 2.
8\sqrt{7}
Multiply 2 and 4 to get 8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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699 * 533
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}