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

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

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

simplify

\frac{3}{2 3 - 3}

23 + 3

Solution steps

\frac{3}{2 3 - 3}

Factor out common term

3 : 3 (2 - 3)

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

Apply radical rule:

a = a a

3 = 33

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

Cancel the common factor:

3

= \frac{3}{2 - 3}

Cancel

\frac{3}{2 - 3} : 23 + 3

= 23 + 3

\frac{2}{6 + 5}

\frac{x ^{3} - 9 x}{x ^{2} - 3 x}

\frac{3 - 2 i}{2 i}

\frac{1. 1 ^{4} - 1}{1. 1 ^{6} - 1}

5 + 2 (3 x - 4) - x