What is (3sqrt(7)+5)/(sqrt(7)-2) ?

The solution to (3sqrt(7)+5)/(sqrt(7)-2) is (31+11sqrt(7))/3

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simplify (3sqrt(7)+5)/(sqrt(7)-2)

simplify

\frac{3 7 + 5}{7 - 2}

\frac{31 + 11 7}{3}

Solution steps

\frac{3 7 + 5}{7 - 2}

Multiply by the conjugate

\frac{7 + 2}{7 + 2}

= \frac{( 3 7 + 5 ) ( 7 + 2 )}{( 7 - 2 ) ( 7 + 2 )}

Expand

(37 + 5) (7 + 2) : 31 + 117

Expand

(7 - 2) (7 + 2) : 3

= \frac{31 + 11 7}{3}

(p + 7) - (6 p^{2} + 13 p)

\frac{cos ( θ )}{sec ( θ )}

125 m^{7}

\frac{x ^{- 2}}{2}

(\frac{x - 1}{2 x}) (3 - \frac{2 x}{9})^{8}

What is (3sqrt(7)+5)/(sqrt(7)-2) ?
The solution to (3sqrt(7)+5)/(sqrt(7)-2) is (31+11sqrt(7))/3