Evaluate
150000\sqrt{2}\approx 212132.034355964
Share
Copied to clipboard
\sqrt{\frac{9\times 10^{10}}{2}}
To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.
\sqrt{\frac{9\times 10000000000}{2}}
Calculate 10 to the power of 10 and get 10000000000.
\sqrt{\frac{90000000000}{2}}
Multiply 9 and 10000000000 to get 90000000000.
\sqrt{45000000000}
Divide 90000000000 by 2 to get 45000000000.
150000\sqrt{2}
Factor 45000000000=150000^{2}\times 2. Rewrite the square root of the product \sqrt{150000^{2}\times 2} as the product of square roots \sqrt{150000^{2}}\sqrt{2}. Take the square root of 150000^{2}.
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}