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

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

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

simplify

\frac{1 - \frac{3}{3}}{1 + \frac{3}{3}}

2 - 3

Solution steps

\frac{1 - \frac{3}{3}}{1 + \frac{3}{3}}

1 - \frac{3}{3} = \frac{3 - 1}{3}

= \frac{\frac{3 - 1}{3}}{1 + \frac{3}{3}}

1 + \frac{3}{3} = \frac{3 + 1}{3}

= \frac{\frac{3 - 1}{3}}{\frac{3 + 1}{3}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

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

Cancel

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

= 2 - 3

9 (\frac{1}{3})

- - 3

(\frac{b}{7})^{2}

(63)^{2}

\frac{25}{5 ^{2}} - \frac{5}{5}

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