What is (5+sqrt(3))/(4+sqrt(3)) ?

The solution to (5+sqrt(3))/(4+sqrt(3)) is (17-sqrt(3))/(13)

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simplify (5+sqrt(3))/(4+sqrt(3))

simplify

\frac{5 + 3}{4 + 3}

\frac{17 - 3}{13}

Decimal Notation

1.17445 \dots

Solution steps

\frac{5 + 3}{4 + 3}

Multiply by the conjugate

\frac{4 - 3}{4 - 3}

= \frac{( 5 + 3 ) ( 4 - 3 )}{( 4 + 3 ) ( 4 - 3 )}

Expand

(5 + 3) (4 - 3) : 17 - 3

Expand

(4 + 3) (4 - 3) : 13

= \frac{17 - 3}{13}

6 x^{2} - 31 x - 30 = 0

- \frac{3}{2 x ^{\frac{3}{2}}}

x^{2} - 9 x > 0

\frac{\frac{1}{2}}{\frac{2}{1}}

x - 2 x^{2} = 8

What is (5+sqrt(3))/(4+sqrt(3)) ?
The solution to (5+sqrt(3))/(4+sqrt(3)) is (17-sqrt(3))/(13)