+0  
 
0
256
2
avatar+684 

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+8963 
+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+684 
+3

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

Nirvana  Jun 10, 2019

8 Online Users