What is (2-sqrt(8))/(4+sqrt(12)) ?

The solution to (2-sqrt(8))/(4+sqrt(12)) is 2-sqrt(3)-2sqrt(2)+sqrt(6)

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simplify (2-sqrt(8))/(4+sqrt(12))

simplify

\frac{2 - 8}{4 + 12}

2 - 3 - 22 + 6

Decimal Notation

- 0.11098 \dots

Solution steps

\frac{2 - 8}{4 + 12}

8 = 22

= \frac{2 - 2 2}{4 + 12}

12 = 23

= \frac{2 - 2 2}{4 + 2 3}

Factor out common term

2 : 2 (1 - 2)

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

Factor out common term

2 : 2 (2 + 3)

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

Cancel the common factor:

2

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

Cancel

\frac{1 - 2}{2 + 3} : 2 - 3 - 22 + 6

= 2 - 3 - 22 + 6

6 x - 4 > 3 x - 13

\frac{6 ( 40 - a )}{5000} = \frac{a}{20000}

ab + 2 b + b^{2}

\frac{1}{125} x^{3} + 27 y^{3}

\frac{1}{2} x + \frac{3}{4} (2 - x) = 5

What is (2-sqrt(8))/(4+sqrt(12)) ?
The solution to (2-sqrt(8))/(4+sqrt(12)) is 2-sqrt(3)-2sqrt(2)+sqrt(6)