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

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

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

simplify

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

\frac{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) : 11 - 7

Expand

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

= \frac{11 - 7}{3}

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

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

\frac{cos ( θ )}{sec ( θ )}

125 m^{7}

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

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