We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
93
2
avatar+135 

The question: please find the distance between the two points, 

\((1,\sqrt{2}) (5,\sqrt{8})\) 

I don't know what my mistake was but here is how i approached this problem...
\( d=\sqrt{(-4)^2+(-2)^2} d= \sqrt{16+4} d=\sqrt{20} =2\sqrt{5} \)

Can someone please tell me how to solve this?

 Jun 10, 2019
 #1
avatar+8718 
+5

\(d\ =\ \sqrt{(1-5)^2+(\sqrt2-\sqrt8)^2} \)          But   \(\sqrt2-\sqrt8\ \neq\ -2\)    !!

 

\(d\ =\ \sqrt{(1-5)^2+(\sqrt2-2\sqrt2)^2}\)          because   \(\sqrt8\ =\ 2\sqrt{2}\)

 

\(d\ =\ \sqrt{(1-5)^2+(-\sqrt2\,)^2}\)          because   x - 2x  =  -x    so     \(\sqrt2-2\sqrt2\ =\ -\sqrt2\)

 

\(d\ =\ \sqrt{(-4)^2+(-\sqrt2\,)^2}\)          because  1 - 5  =  -4

 

\(d\ =\ \sqrt{16+2}\)          because   \((-4)^2=16\)     and     \((-\sqrt2)^2=2\)

 

\(d\ =\ \sqrt{18}\)

 

\(d\ =\ 3 \sqrt{2}\)_

 Jun 10, 2019
 #2
avatar+135 
+3

OHHHH, that makes so much more sense, thank you so much hectictar!! :)

Nirvana  Jun 10, 2019

29 Online Users

avatar