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

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

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simplify (2sqrt(3)+6sqrt(3)-2sqrt(3))/(sqrt(2)+2)

simplify

\frac{2 3 + 6 3 - 2 3}{2 + 2}

- 36 + 63

Decimal Notation

3.04383 \dots

Solution steps

\frac{2 3 + 6 3 - 2 3}{2 + 2}

Add similar elements:

23 - 23 = 0

= \frac{6 3}{2 + 2}

Factor out common term

2 : 2 (1 + 2)

= \frac{6 3}{2 ( 1 + 2 )}

Factor the number:

6 = 2 \cdot 3

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

Apply radical rule:

a = a a

2 = 22

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

Cancel the common factor:

2

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

2 \cdot 33 = 36

= \frac{3 6}{1 + 2}

Cancel

\frac{3 6}{1 + 2} : - 36 + 63

= - 36 + 63

\frac{x - 1}{x + 1}

(- 5 x^{- 3} y^{4})^{2}

cos^{2} (arccos (x))

- 9 \cdot (- 7)

2 \cdot 5^{6} + 7 \cdot 5^{4} + 3 \cdot 5^{2} + 6

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