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

The solution to 3/(2-sqrt(3)) is 6+3sqrt(3)

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simplify 3/(2-sqrt(3))

simplify

\frac{3}{2 - 3}

6 + 33

Decimal Notation

11.19615 \dots

Solution steps

\frac{3}{2 - 3}

Multiply by the conjugate

\frac{2 + 3}{2 + 3}

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

Expand

3 (2 + 3) : 6 + 33

Expand

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

= \frac{6 + 3 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 6 + 33

\frac{1}{3 ^{x} + 5} < \frac{1}{3 ^{x + 1} - 1}

(2 t^{- 3})^{3} (0.4 r)^{2}

\frac{x ^{2} - 9}{x - 1} \leq 0

2 w^{2} - 3 w - 3 = 0

\frac{1}{15} + \frac{1}{3}