Evaluate
\frac{100\sqrt{1541}}{1541}\approx 2.547409011
Share
Copied to clipboard
\sqrt{\frac{10000}{1541}}
Expand \frac{1}{0.1541} by multiplying both numerator and the denominator by 10000.
\frac{\sqrt{10000}}{\sqrt{1541}}
Rewrite the square root of the division \sqrt{\frac{10000}{1541}} as the division of square roots \frac{\sqrt{10000}}{\sqrt{1541}}.
\frac{100}{\sqrt{1541}}
Calculate the square root of 10000 and get 100.
\frac{100\sqrt{1541}}{\left(\sqrt{1541}\right)^{2}}
Rationalize the denominator of \frac{100}{\sqrt{1541}} by multiplying numerator and denominator by \sqrt{1541}.
\frac{100\sqrt{1541}}{1541}
The square of \sqrt{1541} is 1541.
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}