SOLUTION: Please help to simplify 3 times the square root of 6/11 - 2 times the square root of 11/6 - the square root of 594

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Question 65722This question is from textbook An Incremental Development
: Please help to simplify
3 times the square root of 6/11 - 2 times the square root of 11/6 - the square root of 594 This question is from textbook An Incremental Development

Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!

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!!!