Derivations of dimensions problem

[I'm]

Homework Statement

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]

Homework Equations

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.