<PRE><B>Question 212530</B>
Simplify the following:



{{{sqrt(68)+sqrt(28)-sqrt(1/7)}}}.


Multiply {{{sqrt(7)}}} to get rid of denominator in last term and then simplify.


note that 68=4*17 28=4*7 and {{{sqrt(4)=2}}}


{{{sqrt(7)(sqrt(68)+sqrt(28)-sqrt(1/7))}}}=


{{{sqrt(7)sqrt(17*4)+sqrt(7)sqrt(4*7)-sqrt(7)/sqrt(7)}}}=


{{{2sqrt(7*17)+2sqrt(7*7)-1}}}=


{{{2sqrt(119)+2*7-1}}}=


{{{2sqrt(119)+13}}}


I hope the above steps were helpful. 

 

Good luck in your studies!


Respectfully,
Dr J


For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.




</PRE>