Sarthaks Test
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In each of the following determine rational numbers a and b:

(i) (√3-1)/(√3+1) = a-b√3

(ii) (4+√2)/(2+√2) = a-√b

(iii) (3+√2)/(3-√2) = a+b√2

(iv) (5+3√3)/(7+4√3) = a+b√3

(v) (√11-√7)/(√11+√7) = a-b√77

(vi) (4+3√5)/(4-3√5) = a+b√5

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Determine rational numbers a and b

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