Check the correctness of the relation `c = (1)/(sqrt(mu_0 in_0))` where the symbols have their usual meaning.

Explanation

c = velocity of light in vecuum ` = [M^0 L^1 T^(-1)]`
`mu_0` = absolute magnetic permeability fo free space = `[MLT^(-2)a^(-2)]`
`in_0 =` absolute electrical permittivity of free space = `[M^(-1) L^(-3) T^4 A^2]`.
Now, `L.H.S = c = [M^)L^1 T^(-1)]`
`R.H.S = (1)/(sqrt(mu_oin_0)) = (1)/(sqrt([MLT^(-2) A^(-2)][M^(-1)L^(-3)T^4 A^2])) = (1)/(sqrt(M^0 L^(-2)T^2)) = [M^0 L^1 T^(-1)]`
As L.H.S = R.H.S., dimensionally. :. formula is correct.