Solve {l}{4+12sqrt{6}}{+36+8sqrt{6}}{+4}

$$\left. \begin{array} { l } { 4 + 12 \sqrt { 6 } } \\ { + 36 + 8 \sqrt { 6 } } \\ { + 4 } \end{array} \right.$$

Evaluate

$$20\sqrt{6}+44\approx 92.989794856$$

Solution Steps

Add 4 and 36 to get 40.

$$40+12\sqrt{6}+8\sqrt{6}+4$$

Combine 12\sqrt{6} and 8\sqrt{6} to get 20\sqrt{6}.

$$40+20\sqrt{6}+4$$

Add 40 and 4 to get 44.

$$44+20\sqrt{6}$$

Factor

$$4 {(5 \sqrt{6} + 11)} = 92.989794856$$