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

The solution to (2sqrt(7)-3)/(sqrt(7)+2) is (20-7sqrt(7))/3

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

simplify

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

\frac{20 - 7 7}{3}

Solution steps

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

Multiply by the conjugate

\frac{7 - 2}{7 - 2}

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

Expand

(27 - 3) (7 - 2) : 20 - 77

Expand

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

= \frac{20 - 7 7}{3}

\frac{120}{7}

5.3 x - 8.14 + 3.6 x + 9.8

(3 m - 4)^{3} (3 m^{5})

\frac{cos ( x )}{1 + sin ( x )} - \frac{cos ( x )}{1 - sin ( x )}

(- 5) - (- 4)

What is (2sqrt(7)-3)/(sqrt(7)+2) ?
The solution to (2sqrt(7)-3)/(sqrt(7)+2) is (20-7sqrt(7))/3