Evaluate
\frac{\sqrt{35}+9}{5}\approx 2.983215957
Factor
\frac{\sqrt{35} + 9}{5} = 2.9832159566199232
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\frac{\sqrt{7}}{\sqrt{5}}+\frac{9}{5}
Rewrite the square root of the division \sqrt{\frac{7}{5}} as the division of square roots \frac{\sqrt{7}}{\sqrt{5}}.
\frac{\sqrt{7}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}+\frac{9}{5}
Rationalize the denominator of \frac{\sqrt{7}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\sqrt{7}\sqrt{5}}{5}+\frac{9}{5}
The square of \sqrt{5} is 5.
\frac{\sqrt{35}}{5}+\frac{9}{5}
To multiply \sqrt{7} and \sqrt{5}, multiply the numbers under the square root.
\frac{\sqrt{35}+9}{5}
Since \frac{\sqrt{35}}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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