Evaluate
3\sqrt{5}\left(\sqrt{10}+4\right)\approx 48.046019166
Share
Copied to clipboard
3\sqrt{5}\left(\sqrt{10}+2\times 2\right)
Calculate the square root of 4 and get 2.
3\sqrt{5}\left(\sqrt{10}+4\right)
Multiply 2 and 2 to get 4.
3\sqrt{5}\sqrt{10}+12\sqrt{5}
Use the distributive property to multiply 3\sqrt{5} by \sqrt{10}+4.
3\sqrt{5}\sqrt{5}\sqrt{2}+12\sqrt{5}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
3\times 5\sqrt{2}+12\sqrt{5}
Multiply \sqrt{5} and \sqrt{5} to get 5.
15\sqrt{2}+12\sqrt{5}
Multiply 3 and 5 to get 15.
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}