Evaluate
2\sqrt{11}\approx 6.633249581
Quiz
Arithmetic
5 problems similar to:
\sqrt{ 1 \cdot 44 } -10 \sqrt{ 0 \cdot 4 } -10 \sqrt{ 0 \cdot 1 } =
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\sqrt{44}-10\sqrt{0\times 4}-10\sqrt{0\times 1}
Multiply 1 and 44 to get 44.
2\sqrt{11}-10\sqrt{0\times 4}-10\sqrt{0\times 1}
Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.
2\sqrt{11}-10\sqrt{0}-10\sqrt{0\times 1}
Multiply 0 and 4 to get 0.
2\sqrt{11}-10\times 0-10\sqrt{0\times 1}
Calculate the square root of 0 and get 0.
2\sqrt{11}-0-10\sqrt{0\times 1}
Multiply 10 and 0 to get 0.
2\sqrt{11}-0-10\sqrt{0}
Multiply 0 and 1 to get 0.
2\sqrt{11}-0-10\times 0
Calculate the square root of 0 and get 0.
2\sqrt{11}-0-0
Multiply 10 and 0 to get 0.
2\sqrt{11}+0-0
Multiply -1 and 0 to get 0.
2\sqrt{11}-0
Anything plus zero gives itself.
2\sqrt{11}+0
Multiply -1 and 0 to get 0.
2\sqrt{11}
Anything plus zero gives itself.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
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}