Evaluate
150
Factor
2\times 3\times 5^{2}
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\sqrt{15}\sqrt{5}\sqrt{15}\sqrt{20}
Factor 75=15\times 5. Rewrite the square root of the product \sqrt{15\times 5} as the product of square roots \sqrt{15}\sqrt{5}.
15\sqrt{5}\sqrt{20}
Multiply \sqrt{15} and \sqrt{15} to get 15.
15\sqrt{5}\sqrt{5}\sqrt{4}
Factor 20=5\times 4. Rewrite the square root of the product \sqrt{5\times 4} as the product of square roots \sqrt{5}\sqrt{4}.
15\times 5\sqrt{4}
Multiply \sqrt{5} and \sqrt{5} to get 5.
75\sqrt{4}
Multiply 15 and 5 to get 75.
75\times 2
Calculate the square root of 4 and get 2.
150
Multiply 75 and 2 to get 150.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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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
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