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

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

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

simplify

\frac{1}{- \frac{3}{2}}

- \frac{2 3}{3}

Decimal Notation

- 1.15470 \dots

Solution steps

\frac{1}{- \frac{3}{2}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{1}{\frac{3}{2}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

\frac{1}{\frac{3}{2}} = \frac{2}{3}

= - \frac{2}{3}

Rationalize

- \frac{2}{3} : - \frac{2 3}{3}

= - \frac{2 3}{3}

\frac{4}{7} x - \frac{10}{7} = - \frac{7}{4} x + \frac{1}{4}

5 (\frac{1}{2})^{2}

8 x^{3} + 343

7 \leq 2 x + 3 \leq 23

5 x - 4 = 10