1.

5/(-sqrt(2) %2B 3) - 3*sqrt(2)/(3 %2B 2*sqrt(3)) %2B (4*sqrt(3))/(-sqrt(2) %2B 2)

Answer»

[4root(3)/2 - root(2)] - [3root(2)/3 + 2root(3)] + [5/3 - root(2)]

= [4root(3)(2 + root(2))/(4-2)] - [3root(2)(3 - 2root(3))/(9 - 12)]+ [5(3 + root(2))/(9 - 2)]

= 2(2 + root(2)) + root(2)(3 - 2root(3)) + 5(3 + root(2))/7

= 4 + 2root(2) + 3root(2) - 2root(6) + 15/7 + 5root(2)/7

=(4 + 15/7) + (2 + 3 + 5/7) root(2) - 2root(6)

= (28 + 15)/7 + (14 + 21 + 5)/7 root(2) - 2root(6)

= 43/7 + 40root(2)/7 - 2root(6)



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