Evaluate
-3\sqrt{10}-45\approx -54.486832981
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-3\sqrt{5}\sqrt{2}-9\left(\sqrt{5}\right)^{2}
Use the distributive property to multiply -3\sqrt{5} by \sqrt{2}+3\sqrt{5}.
-3\sqrt{10}-9\left(\sqrt{5}\right)^{2}
To multiply \sqrt{5} and \sqrt{2}, multiply the numbers under the square root.
-3\sqrt{10}-9\times 5
The square of \sqrt{5} is 5.
-3\sqrt{10}-45
Multiply -9 and 5 to get -45.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\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]
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\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
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Limits
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