Dimensions

[I'm]

1. The problem statement, all variables and given/known data
Dimensions: These derivations are not correct ( as stated by the book)

I'm just reading my textbook at the moment and I saw this example ( So I don't have work for it myself by the book shows all the steps).

***√[L]/[L/T^2] =√[T^2]


2. Relevant equations



3. The attempt at a solution

I just want this to be explained as the book does not explain it, it just shows steps.

How does***√[L]/[L/T^2] equal √[T^2]?

[Pengwuino]

Do you mean
\sqrt {\frac{{[L]}}{{\frac{{[L]}}{{[T]^2 }}}}} ??

[I'm]

Yes.

[ideasrule]

\frac{L}{L/T^2}


Multiply both sides by T^2, simply, and you'll get the answer.