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

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

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

simplify

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

- 2 + 3

Decimal Notation

- 0.26794 \dots

Solution steps

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

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

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

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

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

Apply the fraction rule:

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

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

Cancel

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

= - 2 + 3

\frac{x + 1}{10 x + 1} \geq \frac{1}{x + 5}

4 x + 1 = - 3

17 - 9

7 x^{2} - 343 = 0

lo g_{2} (4) + lo g_{2} (8)

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