Question 213584
Simplify the square root of two thirds and the square root of three fourths.


Step 1.  The idea is to get rid of the radical in the denominator by multiplying by the radical itself as follows


{{{sqrt(2/3)=sqrt(2)*sqrt(3)/(sqrt(3)*sqrt(3))=sqrt(2*3)/3=sqrt(6)/3}}}


where we multiplied by {{{1=sqrt(3)/sqrt(3)}}} in the above equation.


Step 2.  Simplify the denominator for {{{sqrt(3/4)=sqrt(3)/2}}} where 


{{{sqrt(4)=sqrt(2^2)=2}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J