Evaluate
8
Factor
2^{3}
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\sqrt{57+\sqrt{43+\sqrt{31+\sqrt{21+\sqrt{14+\sqrt{1+3}}}}}}
Calculate the square root of 9 and get 3.
\sqrt{57+\sqrt{43+\sqrt{31+\sqrt{21+\sqrt{14+\sqrt{4}}}}}}
Add 1 and 3 to get 4.
\sqrt{57+\sqrt{43+\sqrt{31+\sqrt{21+\sqrt{14+2}}}}}
Calculate the square root of 4 and get 2.
\sqrt{57+\sqrt{43+\sqrt{31+\sqrt{21+\sqrt{16}}}}}
Add 14 and 2 to get 16.
\sqrt{57+\sqrt{43+\sqrt{31+\sqrt{21+4}}}}
Calculate the square root of 16 and get 4.
\sqrt{57+\sqrt{43+\sqrt{31+\sqrt{25}}}}
Add 21 and 4 to get 25.
\sqrt{57+\sqrt{43+\sqrt{31+5}}}
Calculate the square root of 25 and get 5.
\sqrt{57+\sqrt{43+\sqrt{36}}}
Add 31 and 5 to get 36.
\sqrt{57+\sqrt{43+6}}
Calculate the square root of 36 and get 6.
\sqrt{57+\sqrt{49}}
Add 43 and 6 to get 49.
\sqrt{57+7}
Calculate the square root of 49 and get 7.
\sqrt{64}
Add 57 and 7 to get 64.
8
Calculate the square root of 64 and get 8.
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}