fuuuu my brain is poo today

[derp mcderpinton No.4574761]

Guys help me out I'm having a real dumbfuck moment here I need to find the correct units for "a" the calculation is a = the square route of b divided by c where b is kg m^–1 s^–2 and c is kg m^–3 so what are the units for a and why???

picture unrelated

[derp mcderpinton No.4574765]

just to clarify the square route is of both b and c once its been divided

[Anonymous No.4574772]

HOLY SHIT JUST DO THE MATH

DIVIDE B BY C, INCLUDING UNITS, AND THEN TAKE A SQUARE ROOT

TREAT THE UNITS LIKE VARIABLES

[derp mcderpinton No.4574791]

irrespective of the actual numbers kg cancels out and we would be left with m s as the units for "a" .... as I said my brain is fucked at the moment

[Anonymous No.4574820]

It's really not that hard.
<span class="math">\sqrt{\frac{kgm^{-1}s^{-2}}{kgm^{-3}}}[/spoiler]
<span class="math">\sqrt{m^{2}s^{-2}}[/spoiler]
<span class="math">ms^{-1}[/spoiler]