Evaluate
45
Factor
3^{2}\times 5
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\sqrt{\frac{4104675}{2025}+\frac{1}{2025}}-\frac{1}{45}
Convert 2027 to fraction \frac{4104675}{2025}.
\sqrt{\frac{4104675+1}{2025}}-\frac{1}{45}
Since \frac{4104675}{2025} and \frac{1}{2025} have the same denominator, add them by adding their numerators.
\sqrt{\frac{4104676}{2025}}-\frac{1}{45}
Add 4104675 and 1 to get 4104676.
\frac{2026}{45}-\frac{1}{45}
Rewrite the square root of the division \frac{4104676}{2025} as the division of square roots \frac{\sqrt{4104676}}{\sqrt{2025}}. Take the square root of both numerator and denominator.
\frac{2026-1}{45}
Since \frac{2026}{45} and \frac{1}{45} have the same denominator, subtract them by subtracting their numerators.
\frac{2025}{45}
Subtract 1 from 2026 to get 2025.
45
Divide 2025 by 45 to get 45.
Examples
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{ 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}