What is (2+sqrt(8))/(sqrt(6)) ?

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

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simplify (2+sqrt(8))/(sqrt(6))

simplify

\frac{2 + 8}{6}

\frac{2 + 2}{3}

Decimal Notation

1.97119 \dots

Solution steps

\frac{2 + 8}{6}

8 = 22

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

Factor out common term

2 : 2 (1 + 2)

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

Factor

6 : 23

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

Apply radical rule:

a = a a

2 = 22

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

Cancel the common factor:

2

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

2 (1 + 2) = 2 + 2

= \frac{2 + 2}{3}

\frac{- n}{n}

- 3 (- 2 c - \frac{3}{4} c + 5) + c

c^{2} (c - 4)

\frac{cos ( x )}{sin ( 2 x )}

- 4 x - 6 x

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