If z \( = \frac{ \left\{ \sqrt{3} \right\}^2 - 2 \left\{ \sqrt{2} \right\}^2 }{ \left\{ \sqrt{3} \right\} - 2 \left\{ \sqrt{2} \right\} }\)

find \(\lfloor z \rfloor\)

Guest Apr 17, 2021

#1**+1 **

if z \(= \frac{ \left\{ \sqrt{3} \right\}^2 - 2 \left\{ \sqrt{2} \right\}^2 }{ \left\{ \sqrt{3} \right\} - 2 \left\{ \sqrt{2} \right\} }\) find \(\lfloor z\rfloor \)

**Hello Guest!**

\(z= \dfrac{ \left\{ \sqrt{3} \right\}^2 - 2 \left\{ \sqrt{2} \right\}^2 }{ \left\{ \sqrt{3} \right\} - 2 \left\{ \sqrt{2} \right\} }\)

\(z=\dfrac{(\sqrt{3}+\sqrt{2}\cdot \sqrt{2})(\sqrt{3}-\sqrt{2}\cdot \sqrt{2})}{\sqrt{3}-2\cdot \sqrt{2} }\\ z=\dfrac{(\sqrt{3}+\sqrt{4})(\sqrt{3}-\sqrt{4})}{\sqrt{3}-2\cdot \sqrt{2}}\\ z=\dfrac{3-4}{\sqrt{3}-2\cdot \sqrt{2}}\\ \color{blue}z=\dfrac{1}{2\cdot \sqrt{2}-\sqrt{3}}=0.9121\)

\(\color{blue}\lfloor z\rfloor = 0\)

**Thanks to Alan.**

!

asinus Apr 17, 2021

#2**+2 **

= \frac{ \left\{ \sqrt{3} \right\}^2 - 2 \left\{ \sqrt{2} \right\}^2 }{ \left\{ \sqrt{3} \right\} - 2 \left\{ \sqrt{2} \right\} }

\(z= \frac{ \left\{ \sqrt{3} \right\}^2 - 2 \left\{ \sqrt{2} \right\}^2 }{ \left\{ \sqrt{3} \right\} - 2 \left\{ \sqrt{2} \right\} }\\ z= \frac{ 3 - 2 *2 }{\sqrt{3} - 2\sqrt{2} }\\ z= \frac{ -1 }{\sqrt{3} - 2\sqrt{2} }\\ z= \frac{ -1 }{\sqrt{3} - 2\sqrt{2} }*\frac{\sqrt{3} + 2\sqrt{2} }{\sqrt{3} + 2\sqrt{2} }\\ z= \frac{-1(\sqrt{3} + 2\sqrt{2}) }{3 - 8}\\ z= \frac{(\sqrt{3} + 2\sqrt{2}) }{5}\\ z= \frac{(almost 2 + almost3)}{5}\\ z= \frac{almost 5 }{5}\\0

This would not display before so here is a pic of my answer.

Melody Apr 17, 2021

#3**0 **

Dear guest,

I would suggest you not use terms such as 'asap' in your questions.

It implies that you think your question is more important than other people's.

Or worse still that you have left your homework till the last minute, or you are doing a test and hence late help is equal no help at all.

Terms such as this, make me less inclined to respond quickly.

Melody Apr 17, 2021

#4**+1 **

Melody Can you help me?

When I try to register it wont send me an email in Inbox or in spam and my email is correct.

Do you know why it won't send an email?

Guest Apr 17, 2021

#5**0 **

I am sorry that you are having this problem.

I am not involved with the technical side of the forum at all.

I will try to get input from admin for you but maybe just try again every few days and see if it works.

I am sorry that I cannot be more helpful.

Actually, You can lodge a complaint, which admin will probably see, and then he will have your email address because I think you will have to include it

There is a link at the bottom of the page saying 'report a problem' try doing that.

I hope this is helpful. Get back to me with an update. I hope you can get your membership to activate.

Melody
Apr 17, 2021