`(6 - sqrt 2)( 2+ sqrt 3)`

The value of 5sqrt(3) + 7sqrt(2) - sqrt(6) - 23/(sqrt(2) + sqrt(3) + sqrt(6)) is:

Choose the incorrect relation(s) from the following : (I ) sqrt(6) + sqrt(2) = sqrt(5) + sqrt(3) (ii) sqrt(6) + sqrt( 2) lt sqrt(5) + sqrt (3) (iii) sqrt(6) + sqrt(2) gt sqrt(5) + sqrt(3)

Simplify : (3sqrt(2))/(sqrt(6)-sqrt(3))-(4sqrt(3))/(sqrt(6)-sqrt(2))+(2sqrt(3))/(sqrt(6)+2)

Evaluate : sqrt(6)/( sqrt(2) + sqrt(3) )

Given that: sqrt(3) = 1.732, (sqrt(6) + sqrt(2)) / (sqrt(6)-sqrt(2)) is equal to:

(6 + sqrt(27) ) - ( 3 + sqrt3) + (1-2sqrt3)

[(3sqrt2)/(sqrt3 + sqrt6) - (4sqrt3)/(sqrt6 + sqrt2) + (sqrt6)/(sqrt2 + sqrt3)] is simplified to

(3sqrt(2))/(sqrt(6)-sqrt(3))+(2sqrt(3))/(sqrt(6)+2)-(4sqrt(3))/(sqrt(6)-sqrt(2))