What is (sqrt(7)+2sqrt(5))/(sqrt(7)-\sqrt{5)} ?

The solution to (sqrt(7)+2sqrt(5))/(sqrt(7)-\sqrt{5)} is (17+3sqrt(35))/2

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simplify (sqrt(7)+2sqrt(5))/(sqrt(7)-\sqrt{5)}

simplify

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

\frac{17 + 3 35}{2}

Solution steps

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

Multiply by the conjugate

\frac{7 + 5}{7 + 5}

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

Expand

(7 + 25) (7 + 5) : 17 + 335

Expand

(7 - 5) (7 + 5) : 2

= \frac{17 + 3 35}{2}

(1 - 2 x)^{5}

(x^{50})^{2}

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

(- 0.6 m^{3} n^{2})^{3}

\frac{800}{3}

What is (sqrt(7)+2sqrt(5))/(sqrt(7)-\sqrt{5)} ?
The solution to (sqrt(7)+2sqrt(5))/(sqrt(7)-\sqrt{5)} is (17+3sqrt(35))/2