# Division of Variables Question

• Feb 8th 2013, 11:38 AM
Coop
Division of Variables Question
Hi,

It's been a long time since algebra so I just want to make sure I'm not making a stupid mistake on my homework. This is true, right?

sqrt(P*t)/sqrt(P) = sqrt(t)

Again, it may be simple, but thanks!
• Feb 8th 2013, 12:27 PM
Plato
Re: Division of Variables Question
Quote:

Originally Posted by Coop
Hi,

It's been a long time since algebra so I just want to make sure I'm not making a stupid mistake on my homework. This is true, right?
sqrt(P*t)/sqrt(P) = sqrt(t)

If $\displaystyle p>0$ then it is true/
• Feb 8th 2013, 12:41 PM
Coop
Re: Division of Variables Question
Okay thanks :), and that's because you can't take the square root of a negative I assume?
• Feb 8th 2013, 04:38 PM
Soroban
Re: Division of Variables Question
Hello, Coop!

Quote:

This is true, right? . $\displaystyle \frac{\sqrt{P\!\cdot\!t}}{\sqrt{P}} \,=\, \sqrt{t}$

Yes, you are right!
Here are two ways . . .

$\displaystyle \frac{\sqrt{P\!\cdot\!t}}{\sqrt{P}} \:=\:\frac{{\color{red}\rlap{///}}\sqrt{P}\!\cdot\!\sqrt{t}}{{\color{red}\rlap{///}}\sqrt{P}} \:=\:\sqrt{t}$

$\displaystyle \frac{\sqrt{P\!\cdot\!t}}{\sqrt{P}} \:=\:\sqrt{\frac{{\color{red}\rlap{\,/}}P\!\cdot\!t}{{\color{red}\rlap{\,/}}P}} \:=\:\sqrt{t}$
• Feb 8th 2013, 04:39 PM
Coop
Re: Division of Variables Question
Thanks :) By the way, could you tell me how you input things like division and square root signs when you are on the forums?
• Feb 8th 2013, 05:07 PM
Plato
Re: Division of Variables Question
Quote:

Originally Posted by Coop
tell me how you input things like division and square root signs when you are on the forums?

It called LaTeX code

$$\frac{\sqrt{P\cdot t}}{\sqrt{P}}$$ gives $\displaystyle \frac{\sqrt{P\cdot t}}{\sqrt{P}}$.

Click on the “go advanced” tab. On the toolbar you will see $\displaystyle \boxed{\Sigma}$ clicking on that give the LaTeX wraps, . The code goes between them.
• Feb 8th 2013, 05:19 PM
Coop
Re: Division of Variables Question
Ah thanks :) I'm not a coder by any means :/