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

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

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

simplify

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

3

Decimal Notation

1.73205 \dots

Solution steps

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

Apply the fraction rule:

a = \frac{ab}{b}

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

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

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

Simplify

1 - 2 (2 - 3) : - 3 + 23

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

Cancel

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

= 3

\frac{( 3 ^{5} ) ^{2}}{3 ^{- 2}}

lo g_{3} (3^{5 x})

cos^{2} (3 x) + sin^{2} (3 x)

cos (x) sec (x)