What is (1+2sqrt(3))/(3+sqrt(3)) ?

The solution to (1+2sqrt(3))/(3+sqrt(3)) is (-3+5sqrt(3))/6

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simplify (1+2sqrt(3))/(3+sqrt(3))

simplify

\frac{1 + 2 3}{3 + 3}

\frac{- 3 + 5 3}{6}

Decimal Notation

0.94337 \dots

Solution steps

\frac{1 + 2 3}{3 + 3}

Multiply by the conjugate

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

= \frac{( 1 + 2 3 ) ( 3 - 3 )}{( 3 + 3 ) ( 3 - 3 )}

Expand

(1 + 23) (3 - 3) : - 3 + 53

Expand

(3 + 3) (3 - 3) : 6

= \frac{- 3 + 5 3}{6}

((\frac{2}{3})^{3})^{\frac{- 1}{3}}

- \frac{2}{7} + 1

\frac{13 - 5}{\frac{2}{5}}

57 + 7 - 27

\frac{3 ^{8} \times 3 ^{5}}{3 ^{9}}

What is (1+2sqrt(3))/(3+sqrt(3)) ?
The solution to (1+2sqrt(3))/(3+sqrt(3)) is (-3+5sqrt(3))/6