Evaluate
\frac{11}{8}=1.375
Factor
\frac{11}{2 ^ {3}} = 1\frac{3}{8} = 1.375
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\sqrt{\frac{11\times 11}{8\times 8}}
Multiply \frac{11}{8} times \frac{11}{8} by multiplying numerator times numerator and denominator times denominator.
\sqrt{\frac{121}{64}}
Do the multiplications in the fraction \frac{11\times 11}{8\times 8}.
\frac{11}{8}
Rewrite the square root of the division \frac{121}{64} as the division of square roots \frac{\sqrt{121}}{\sqrt{64}}. Take the square root of both numerator and denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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}