What is (7+sqrt(5))/(6-sqrt(5)) ?

The solution to (7+sqrt(5))/(6-sqrt(5)) is (47+13sqrt(5))/(31)

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simplify (7+sqrt(5))/(6-sqrt(5))

simplify

\frac{7 + 5}{6 - 5}

\frac{47 + 13 5}{31}

Decimal Notation

2.45383 \dots

Solution steps

\frac{7 + 5}{6 - 5}

Multiply by the conjugate

\frac{6 + 5}{6 + 5}

= \frac{( 7 + 5 ) ( 6 + 5 )}{( 6 - 5 ) ( 6 + 5 )}

Expand

(7 + 5) (6 + 5) : 47 + 135

Expand

(6 - 5) (6 + 5) : 31

= \frac{47 + 13 5}{31}

\frac{3}{4} x - \frac{1}{2} = 7

3 - 27

\frac{3 x - 1}{x - 2} \leq 4

7^{2} + 5^{2}

4 + 42

What is (7+sqrt(5))/(6-sqrt(5)) ?
The solution to (7+sqrt(5))/(6-sqrt(5)) is (47+13sqrt(5))/(31)