Answer the following questions.\\
(1) The positive integers $m$ and $n$ which simultaneously satisfy the following two inequalities

$$\frac { m } { 3 } < \sqrt { 3 } < \frac { n } { 4 } , \quad \frac { n } { 3 } < \sqrt { 6 } < \frac { m } { 2 }$$

are

$$m = \mathbf { A } , \quad n = \mathbf { B } .$$

(2) Using the results of (1), let us compare the sizes of numbers (1) $\sim$ (5).\\
(1) $( \sqrt { ( - 3 ) ( - 4 ) } ) ^ { 3 }$\\
(2) $6 \sqrt { ( - 2 ) ^ { 3 } ( - 3 ) }$\\
(3) $\sqrt { \left\{ ( - 4 ) ( - 3 ) ^ { 2 } \right\} ^ { 2 } }$\\
(4) $( - 1 ) ^ { 3 } \sqrt { \left\{ ( - 2 ) ^ { 5 } \right\} ^ { 2 } }$\\
(5) $\left( \frac { 5 \sqrt { 3 } } { 1 - \sqrt { 6 } } \right) ^ { 2 }$

When the denominator of (5) is rationalized, we have

$$\left( \frac { 5 \sqrt { 3 } } { 1 - \sqrt { 6 } } \right) ^ { 2 } = \mathbf { C D } + \mathbf { E } \sqrt { \mathbf { F } }$$

Of the five numbers, there are $\mathbf { G }$ number(s) greater than 35 and $\mathbf { H }$ negative number(s).

When we arrange the five numbers in the ascending order of their size using the numbers (1) $\sim$ (5), we have

$$\mathbf { I } < \mathbf { J } < \mathbf { K } < \mathbf { L } < \mathbf { M } .$$