find the distance btw the given pair of points

label Algebra
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distance btw P1 and P2

P1: (5 sqrt 6, sqrt 2)

P2: (- sqrt 6, 5 sqrt 2)

Jun 9th, 2015

Thank you for the opportunity to help you with your question!

Point 1 (say A) =( 5√6, √2)

Point 2 (say B) = ( -√6, 5√2)

Distance AB is found by using the distance formula:

 √(x2 – x1)² + ( y2-y1)²

=  √[( 5√6 - (- √6)] ² +[( √2 - 5√2 ] ²

=√[( 6√6 ) ² +[(  - 4√2 ] ²

=√( 36 * 6 + 16 *2)

=√( 216 + 32)

=√( 216 + 32)

==√248

=√ (144 *2)

=12√2

= 16.971 to 3 decimal places


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 9th, 2015

Sorry final part should be √248 = √ 4 *62 = 2 √ 62 = 15.748 to 3 decimal places

Jun 9th, 2015

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