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Solve (2-sqrt5)/(2+sqrt5)=asqrt5+b...

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`(2-sqrt5)/(2+sqrt5)=asqrt5+b`

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Find rational numbers a and b such that (i) (sqrt2-1)/(sqrt2+1)=a+bsqrt2 (ii) (2-sqrt5)/(2+sqrt5)=asqrt5+b (iii) (sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6 (iv) (5+2sqrt3)/(7+4sqrt3)=a+bsqrt3

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