Hello,

Please look at my picture

I need someone to show me how to get the end bit of my sum finished, the correct answer is in green I cant seem to get it?

Please help

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- Jan 28th 2010, 12:17 PMwolfhoundsimplify..need help
Hello,

Please look at my picture

I need someone to show me how to get the end bit of my sum finished, the correct answer is in green I cant seem to get it?

Please help - Jan 28th 2010, 12:24 PMpickslides
$\displaystyle 4T^2 = 8S^2$

$\displaystyle \frac{T^2}{2} = S^2$

$\displaystyle \sqrt{\frac{T^2}{2}} = S$

$\displaystyle \frac{T}{\sqrt{2}} = S$ - Jan 28th 2010, 12:31 PMwolfhound
Can someone

**show**me how to get the answer in green on my picture please???? - Jan 28th 2010, 12:47 PMwolfhound
- Jan 28th 2010, 12:55 PMwolfhound
Is there any kind helpful people that can show me how to get the correct answer in green on my picture please????

- Jan 28th 2010, 01:01 PMpickslides
- Jan 28th 2010, 01:06 PMpickslides
- Jan 28th 2010, 01:06 PMCaptainBlack
- Jan 28th 2010, 01:07 PMmasters
Hi wolfhound,

Now, now let's be nice.

Here's the flow from where you started:

$\displaystyle 4t^2-8s^2=0$

$\displaystyle -8s^2=-4t^2$

$\displaystyle s^2=\frac{1}{2}t^2$

$\displaystyle s=\sqrt{\frac{1}{2}t^2}$

$\displaystyle s=\frac{\sqrt{t^2}}{\sqrt{2}}$

$\displaystyle s=\frac{t}{\sqrt{2}}$

This is what Pickslides gave you. Now, you must rationalize the denominator.

$\displaystyle s=\frac{t}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}$

$\displaystyle s=\frac{t\sqrt{2}}{2}$

$\displaystyle {\color{green}s=\frac{1}{2}t\sqrt{2}}$ - Jan 28th 2010, 01:10 PMwolfhound