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I was wondering if this formula is dimensionally correct:

v = Square root FX/m divided by mass

v= m/s F= kgm/s^2 X = meters divided by mass (kg)

v = root kgm * m
My half solution:

m/s = root kgm^2
root kg

m/s = m/s root kg
--- the kg cancels
root kg

which leaves me with: m/s = m/s
thus the equation is dimensionally correct(?). I am unsure however if I violated any square root rules. Please help.

It is correct.

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