Question 109028
    3 radical 2 divided by 2 - 5 radical 2; Simplify by rationalizing the denominator.

{{{3sqrt(2)/(2-5sqrt(2))}}}.........multiply numerator and denominator by {{{2+5sqrt2}}} 

{{{3sqrt(2)(2+5sqrt2)/(2-5sqrt(2))(2+5sqrt2)}}}.........

{{{3sqrt(2)(2+5sqrt2)/(2^2-(5sqrt(2))^2)}}}.........

{{{(3sqrt(2)(2+5sqrt2))/(4 -25*2)}}}........

{{{(6sqrt(2)+15*2)/(4 -25*2)}}}.........

{{{(6sqrt(2)+30)/-46}}}.........divide both numerator and denominator by {{{2}}} 

{{{(6sqrt(2)+15)/-23}}}.........

{{{-(6sqrt(2)+15)/23}}}.........