To determine the value of [tex]\( p \)[/tex], given the equation [tex]\( p = 68 \sqrt{2} \)[/tex]:
1. Identify the given expression and the variables involved.
- We are given that [tex]\( p \)[/tex] is defined as [tex]\( 68 \sqrt{2} \)[/tex].
2. Understand what [tex]\( \sqrt{2} \)[/tex] represents.
- [tex]\( \sqrt{2} \)[/tex] is a mathematical constant approximately equal to 1.414213562.
3. Substitute the value of [tex]\( \sqrt{2} \)[/tex] into the expression:
- [tex]\( p = 68 \times 1.414213562 \)[/tex].
4. Perform the multiplication:
- [tex]\( 68 \times 1.414213562 = 96.16652224137047 \)[/tex].
Thus, the value of [tex]\( p \)[/tex] is approximately 96.1665.
However, the problem asks for the value of [tex]\( m \)[/tex]. Since there is no direct relation to [tex]\( m \)[/tex] provided and the question only asks for the value of [tex]\( p \)[/tex] implicitly, we cannot determine [tex]\( m \)[/tex] without additional context. Therefore, based on the provided information, the result of the computation is [tex]\( p \)[/tex], which equals 96.16652224137047 as our final answer.