Question 65722

3sqrt(6/11) - 2sqrt(11/6) - sqrt(594)

= 3sqrt(6/11) - 2sqrt(11/6) - sqrt(9 * 66)

= 3sqrt(6/11) - 2sqrt(11/6) - 3 sqrt(66)

Multiply and divide throughout by sqrt(66) we get..

[3sqrt(6/11)*sqrt(66) - 2sqrt(11/6)*sqrt(66) - 3sqrt(66)*sqrt(66)]/sqrt(66)

= [3 sqrt(6)*sqrt(6) - 2 sqrt(11)*sqrt(11) - 3 sqrt(66)*sqrt(66)]/ sqrt(66)

= [3*6 - 2*11 - 3*66]/sqrt(66)

= [18 - 22 - 198]/ sqrt(66)

= -202/sqrt(66)

Good Luck!!!