Evaluate
\frac{4\sqrt{764286}}{127}\approx 27.534945585
Share
Copied to clipboard
\sqrt{\frac{1.6\times 4\times 8.85\times 11.9}{0.889}}
Cancel out 2 in both numerator and denominator.
\sqrt{\frac{6.4\times 8.85\times 11.9}{0.889}}
Multiply 1.6 and 4 to get 6.4.
\sqrt{\frac{56.64\times 11.9}{0.889}}
Multiply 6.4 and 8.85 to get 56.64.
\sqrt{\frac{674.016}{0.889}}
Multiply 56.64 and 11.9 to get 674.016.
\sqrt{\frac{674016}{889}}
Expand \frac{674.016}{0.889} by multiplying both numerator and the denominator by 1000.
\sqrt{\frac{96288}{127}}
Reduce the fraction \frac{674016}{889} to lowest terms by extracting and canceling out 7.
\frac{\sqrt{96288}}{\sqrt{127}}
Rewrite the square root of the division \sqrt{\frac{96288}{127}} as the division of square roots \frac{\sqrt{96288}}{\sqrt{127}}.
\frac{4\sqrt{6018}}{\sqrt{127}}
Factor 96288=4^{2}\times 6018. Rewrite the square root of the product \sqrt{4^{2}\times 6018} as the product of square roots \sqrt{4^{2}}\sqrt{6018}. Take the square root of 4^{2}.
\frac{4\sqrt{6018}\sqrt{127}}{\left(\sqrt{127}\right)^{2}}
Rationalize the denominator of \frac{4\sqrt{6018}}{\sqrt{127}} by multiplying numerator and denominator by \sqrt{127}.
\frac{4\sqrt{6018}\sqrt{127}}{127}
The square of \sqrt{127} is 127.
\frac{4\sqrt{764286}}{127}
To multiply \sqrt{6018} and \sqrt{127}, multiply the numbers under the square root.
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}