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

The solution to (2+sqrt(3))/(5+sqrt(3)) is (7+3sqrt(3))/(22)

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

simplify

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

\frac{7 + 3 3}{22}

Solution steps

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

Multiply by the conjugate

\frac{5 - 3}{5 - 3}

= \frac{( 2 + 3 ) ( 5 - 3 )}{( 5 + 3 ) ( 5 - 3 )}

Expand

(2 + 3) (5 - 3) : 7 + 33

Expand

(5 + 3) (5 - 3) : 22

= \frac{7 + 3 3}{22}

5 x^{2} - 10 x - 400

\frac{5 ^{- 2}}{5 ^{8}}

2 x^{2} \cdot 2 x^{3}

4 x + 4

\frac{3 x + 3 y}{4}

What is (2+sqrt(3))/(5+sqrt(3)) ?
The solution to (2+sqrt(3))/(5+sqrt(3)) is (7+3sqrt(3))/(22)