does u/(2(sqrt2)g) equal to 2u/(sqrt2)g?

No, u/(2(sqrt2)g) does not equal to 2u/(sqrt2)g.

To simplify the expression u/(2(sqrt2)g), we can multiply both the numerator and denominator by 2 to get:

u/(2(sqrt2)g) = (2u)/(2(2(sqrt2)g))
= (2u)/(4(sqrt2)g)
= u/(2(sqrt2)g)

Therefore, u/(2(sqrt2)g) cannot be simplified further.

On the other hand, 2u/(sqrt2)g can be simplified as follows:

2u/(sqrt2)g = (2/1)(u/(sqrt2)g)
= u(sqrt2)g/(sqrt2)g
= u(sqrt2)/sqrt2
= u√2/2

Hence, u/(2(sqrt2)g) is not equal to 2u/(sqrt2)g.