Evaluate
\frac{-20\sqrt{2}-10}{21}\approx -1.823060536
Factor
\frac{10 {(-2 \sqrt{2} - 1)}}{21} = -1.823060535593424
Quiz
Arithmetic
5 problems similar to:
\frac{ -1+- \sqrt{ - { 2 }^{ 2 } -4 \times 1 \times (-3) } }{ 2.1 }
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\frac{-1-\sqrt{-4-4\times 1\left(-3\right)}}{2.1}
Calculate 2 to the power of 2 and get 4.
\frac{-1-\sqrt{-4-4\left(-3\right)}}{2.1}
Multiply 4 and 1 to get 4.
\frac{-1-\sqrt{-4-\left(-12\right)}}{2.1}
Multiply 4 and -3 to get -12.
\frac{-1-\sqrt{-4+12}}{2.1}
The opposite of -12 is 12.
\frac{-1-\sqrt{8}}{2.1}
Add -4 and 12 to get 8.
\frac{-1-2\sqrt{2}}{2.1}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
Examples
Quadratic equation
{ 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}