What is 6/(2-sqrt(3)) ?

The solution to 6/(2-sqrt(3)) is 12+6sqrt(3)

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simplify 6/(2-sqrt(3))

simplify

\frac{6}{2 - 3}

12 + 63

Decimal Notation

22.39230 \dots

Solution steps

\frac{6}{2 - 3}

Multiply by the conjugate

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

= \frac{6 ( 2 + 3 )}{( 2 - 3 ) ( 2 + 3 )}

Expand

6 (2 + 3) : 12 + 63

Expand

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

= \frac{12 + 6 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 12 + 63

x^{3} - 5 x^{2} + x + 7

2 (x + 30)

\frac{3}{15}

\frac{1}{0 + 3 + 3}

- 3 (- 2 y)^{3} - 6 (- 2 y) + 9