Find rational numbers a and b such that (i) √(2)-1/√(2)-1=a+b √(2) (ii) 2-√(5)/2+√(5)=a √(5)+b (i...

Find rational numbers a and b such that
(i) √(2)-1/√(2)-1=a+b √(2)
(ii) 2-√(5)/2+√(5)=a √(5)+b
(iii) √(3)+√(2)/√(3)-√(2)=a+b √(6)
(iv) 5+2 √(3)/7+4 √(3)=a+b √(3)

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