Explanation

$\lbrack C\rbrack = \left\lbrack M^{- 1}L^{- 2}T^{4}A^{2} \right\rbrack,\lbrack R\rbrack = \left\lbrack ML^{2}T^{- 3}A^{- 2} \right\rbrack$ $\lbrack L\rbrack = \left\lbrack ML^{2}T^{- 2}A^{- 2} \right\rbrack\ and\ \lbrack I\rbrack = \left\lbrack M^{0}L^{0}T^{0}A \right\rbrack\$ $\lbrack CR\rbrack = \left\lbrack M^{- 1}L^{- 2}T^{4}A^{2} \right\rbrack\ \left\lbrack {ML}^{2}T^{- 3}A^{- 2} \right\rbrack$ $= \left\lbrack M^{0}L^{0}TA^{0} \right\rbrack$ $\frac{\lbrack L\rbrack}{\lbrack R\rbrack} = \frac{\left\lbrack ML^{2}T^{- 2}A^{- 2} \right\rbrack}{\left\lbrack ML^{2}T^{- 3}A^{- 2} \right\rbrack} = \left\lbrack M^{0}L^{0}TA^{0} \right\rbrack$ $\left( \sqrt{LC} \right) = \left( \left\lbrack ML^{2}T^{- 2}A^{- 2} \right\rbrack\ \times \left\lbrack M^{- 1}L^{- 2}A^{2} \right\rbrack \right)^{1/2}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ = \left\lbrack M^{0}L^{0}TA^{0} \right\rbrack$ $\left\lbrack LI^{2} \right\rbrack = \left\lbrack ML^{2}T^{- 2}A^{- 2} \right\rbrack\ \left\lbrack M^{0}L^{0}T^{0}A^{1} \right\rbrack^{2}$ $\ \ \ \ \ \ \ \ \ \ \ = \left\lbrack ML^{2}T^{- 2}A^{0} \right\rbrack$