4
   

( √2 - √3 )² =

 
 
Reply Mon 22 May, 2017 05:40 am
( √2 - √3 )² =
 
timur
 
  3  
Reply Mon 22 May, 2017 06:23 am
( √2 - √3 )² =0.10102051443364380360543185058822

Simple calculation..
0 Replies
 
centrox
 
  1  
Reply Mon 22 May, 2017 06:28 am
bookmark
0 Replies
 
McGentrix
 
  1  
Reply Mon 22 May, 2017 06:44 am
That checks out. PEMDAS
0 Replies
 
Tryagain
 
  4  
Reply Mon 22 May, 2017 06:46 am
( √2 - √3 )² = 5 - 2√6


Expand as for (a - b)2. (√2 - √3)(√2 - √3) = 2 - 2(√2 x √3) + 3


You "FOIL" it. FOIL stands for "First, Outer, Inner, Last", and that's the order you multiply the terms in.

( √2 - √3 ) X ( √2 - √3 )

First: √2 X √2 = 2
Outer: √2 X -√3 = -√6
Inner: -√3 X √2 = -√6
Last: -√3 X -√3 = 3

Add them together now.

2 - √6 - √6 + 3
5 - 2(√6)

The answer is 5 - 2(√6)

5-2√6 is in surd form.
This would also be equal to 0.101 >>> in accord with the honourable sagacious Timur’s pronouncement.
centrox
 
  1  
Reply Mon 22 May, 2017 06:48 am
That's it, Tryagain. The OP didn't want an answer, he wanted us to do his homework for him.

0 Replies
 
McGentrix
 
  0  
Reply Mon 22 May, 2017 06:48 am
@Tryagain,
Where did the 5 - 2√6 come from? Was it missed in the original post?
0 Replies
 
timur
 
  1  
Reply Mon 22 May, 2017 06:53 am
Not everybody is following, it seems..
McGentrix
 
  1  
Reply Mon 22 May, 2017 06:55 am
@timur,
then he is just writing out the foiled part? Seems redundant. To be fair, it's early and Monday... Embarrassed
ekename
 
  1  
Reply Mon 22 May, 2017 07:01 am
If only Trya would change one of the tags on his World's First Riddle thread to 'mathematics' or 'homework' so that you guys that know stuff could answer his questions.
0 Replies
 
centrox
 
  1  
Reply Mon 22 May, 2017 07:02 am
@McGentrix,
McGentrix wrote:

then he is just writing out the foiled part? Seems redundant. To be fair, it's early and Monday... Embarrassed

In this type of school math exercise, the required 'answer' is the surd that Tryagain provided. A surd is an irrational number, a number which cannot be expressed as a fraction or as a terminating or recurring decimal. The square root of 6 is irrational.

0 Replies
 
seac
 
  1  
Reply Mon 22 May, 2017 07:37 pm
Wouldn't a computer do the operation inside the parenthesis first, then square it?
0 Replies
 
newmoonnewmoon
 
  -1  
Reply Mon 22 May, 2017 07:40 pm
@enzoeducation,
(√2 βˆ’ √3)Γ—2
= βˆ’0.6356744904
0 Replies
 
newmoonnewmoon
 
  -1  
Reply Mon 22 May, 2017 07:42 pm
@enzoeducation,
My mistake..

(√2βˆ’βˆš3)2
= βˆ’0.6356744904
ekename
 
  1  
Reply Mon 22 May, 2017 08:14 pm
@newmoonnewmoon,
Quote:
My mistake..

(√2βˆ’βˆš3)2
= βˆ’0.6356744904


What say you about the other answer?
newmoonnewmoon
 
  0  
Reply Mon 22 May, 2017 09:00 pm
@ekename,
Typo
ekename
 
  1  
Reply Mon 22 May, 2017 10:14 pm
@newmoonnewmoon,
I meant what do you think about the answer by Tryagain?


( √2 - √3 )² = 5 - 2√6
0 Replies
 
centrox
 
  1  
Reply Tue 23 May, 2017 12:53 am
@newmoonnewmoon,
newmoonnewmoon wrote:

My mistake..

(√2βˆ’βˆš3)2
= βˆ’0.6356744904

You don't understand what the little raised 2 means, do you?
ekename
 
  1  
Reply Tue 23 May, 2017 01:11 am
@centrox,
Such language: so prescriptive and descriptive, and yet somehow superscriptive.


0 Replies
 
newmoonnewmoon
 
  1  
Reply Tue 23 May, 2017 03:02 pm
@centrox,
To the second power?
0 Replies
 
 

 
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