1. ## simplify..need help

Hello,

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?

2. $\displaystyle 4T^2 = 8S^2$

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

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

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

3. Can someone show me how to get the answer in green on my picture please????

4. Originally Posted by pickslides
$\displaystyle 4T^2 = 8S^2$

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

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

$\displaystyle \frac{T}{\sqrt{2}} = S$
Sorry but this is not the answer in the green?

5. Is there any kind helpful people that can show me how to get the correct answer in green on my picture please????

6. Originally Posted by wolfhound
Is there any kind helpful people that can show me how to get the correct answer in green on my picture please????

You need to rationalise the denominator in my post, that will give you the answer you require.

7. Originally Posted by wolfhound
Its wrong? Why did you post it if you knew its wrong?
Its no good.
What are you rambling now?

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

Now finish it!

8. Originally Posted by wolfhound
the answer is in a textbook, so thats wrong and you are right?
If you dont like the style of my posts dont bother reading them , your the first person to complain about them. I'm happy without latex
$\displaystyle \frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}$

CB

9. Originally Posted by wolfhound
Its wrong? Why did you post it if you knew its wrong?
Its no good.
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.

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

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

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

10. Originally Posted by masters
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.

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

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

$\displaystyle {\color{green}s=\frac{1}{2}t\sqrt{2}}$
Thank you very much