Evaluate
5\sqrt{101}\approx 50.249378106
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\sqrt{25+50^{2}}
Calculate 5 to the power of 2 and get 25.
\sqrt{25+2500}
Calculate 50 to the power of 2 and get 2500.
\sqrt{2525}
Add 25 and 2500 to get 2525.
5\sqrt{101}
Factor 2525=5^{2}\times 101. Rewrite the square root of the product \sqrt{5^{2}\times 101} as the product of square roots \sqrt{5^{2}}\sqrt{101}. Take the square root of 5^{2}.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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