# Derivations of dimensions problem

1. Jul 4, 2009

### 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]?

2. Jul 4, 2009

### Pengwuino

Re: Dimensions

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

3. Jul 4, 2009

### I'm

Re: Dimensions

Yes.

4. Jul 4, 2009

### ideasrule

Re: Dimensions

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

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