1. The problem statement, all variables and given/known data

Calculate \(\Delta x = \sqrt{\left\langle(x - \left\langle x \right\rangle )^2 \right\rangle}\) if \(\left\langle x \right\rangle = 0 \) and \(\left\langle x^2 \right\rangle = a^2(\frac{\pi - 6}{12 \pi^2})\)

2. The attempt at a solution

\(\left\langle(x - \left\langle x \right\rangle )^2 \right\rangle = \left\langle x^2 - 2x \left\langle x \right\rangle + \left\langle x \right\rangle ^2 \right\rangle\)

How can I proceed here?

 

1. The problem statement, all variables and given/known data

Calculate \(\Delta x = \sqrt{\left\langle(x - \left\langle x \right\rangle )^2 \right\rangle}\) if \(\left\langle x \right\rangle = 0 \) and \(\left\langle x^2 \right\rangle = a^2(\frac{\pi - 6}{12 \pi^2})\)

2. The attempt at a solution

\(\left\langle(x - \left\langle x \right\rangle )^2 \right\rangle = \left\langle x^2 - 2x \left\langle x \right\rangle + \left\langle x \right\rangle ^2 \right\rangle\)

How can I proceed here?

Wouldn't the next logical step be to take advantage of the fact that \(\left\langle x \right\rangle = 0 \) ?

The problem looks a whole lot simpler once you do that.

 

Lol, stupid of me.