Evaluate
14-4\sqrt{14}\approx -0.966629547
Factor
2 {(7 - 2 \sqrt{14})} = -0.966629547
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2\left(\sqrt{7}\right)^{2}-4\sqrt{7}\sqrt{2}
Use the distributive property to multiply \sqrt{7} by 2\sqrt{7}-4\sqrt{2}.
2\times 7-4\sqrt{7}\sqrt{2}
The square of \sqrt{7} is 7.
14-4\sqrt{7}\sqrt{2}
Multiply 2 and 7 to get 14.
14-4\sqrt{14}
To multiply \sqrt{7} and \sqrt{2}, multiply the numbers under the square root.
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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