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

The solution to (2sqrt(3))/(2-sqrt(3)) is 4sqrt(3)+6

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

simplify

\frac{2 3}{2 - 3}

43 + 6

Decimal Notation

12.92820 \dots

Solution steps

\frac{2 3}{2 - 3}

Multiply by the conjugate

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

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

Expand

2 (2 + 3) : 4 + 23

Expand

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

= \frac{( 4 + 2 3 ) 3}{1}

Apply the fraction rule:

\frac{a}{1} = a

= (4 + 23) 3

(4 + 23) 3 = 43 + 6

= 43 + 6

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

6.2 \times 0.4 + 3.4 \times 3.6

\frac{4 !}{0 !}

- 2 (- 4 w + v - 5)

\frac{49}{12}

What is (2sqrt(3))/(2-sqrt(3)) ?
The solution to (2sqrt(3))/(2-sqrt(3)) is 4sqrt(3)+6