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Check the dimensional consistency of the...

Check the dimensional consistency of the following equations.
(ii) Escape velocity, `v=sqrt((2GM)/(R ))`

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Given `v=sqrt((2GM)/(R ))`
`LHS=[v]=LT^(-1)`
`RHS=[(2GM)/(R )]^(1//2)=[(M^(-1)L^(3)T^(-2)M)/(L)]^(1//2)`
`[L^(2)T^(-2)]^(1//2)=LT^(-1)`
`therefore` Dimension of LHS = Dimensions of RHS
Hence the given equation is dimensionally correct.
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