[" determine rational nun "],[" (ii) "(4+sqrt(2))/(2+sqrt(2))=a-sqrt(b)]

In each of the following determine rational number a and b:(3+sqrt(2))/(3-sqrt(2))=a+b sqrt(2) (ii) (5+3sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

In each of the following determine rational number a and b:(sqrt(3)-1)/(sqrt(3)+1)=a-b sqrt(3)( ii) (4+sqrt(2))/(2+sqrt(2))=a-sqrt(b)

In each of the following determine rational number a\ a n d\ b : (i)\ (3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2) (ii)\ (5+3sqrt(3))/(7+4sqrt(3))=a+bsqrt(3)

In each of the following determine rational number a\ a n d\ b : (i) (sqrt(3)-1)/(sqrt(3)+1)=a-bsqrt(3) (ii) (4+\ sqrt(2))/(2+sqrt(2))=a-sqrt(b)

In each of the following determine rational number a and b:(sqrt(11)-sqrt(7))/(sqrt(11)+sqrt(7))=a-b sqrt(77) (ii) (4+3sqrt(5))/(4-3sqrt(5))=a+b sqrt(5)

Rationalize : ( sqrt(2) + sqrt(3) ) / sqrt(5)

Identify each of the following as rational or irrational number . (i) sqrt(12) (ii) 3 sqrt(2) xx sqrt(8)

Express each one of the following with rational denominator: (i) (sqrt(3)+\ 1)/(2sqrt(2)-\ sqrt(3)) (ii) (6-4sqrt(2))/(6+4sqrt(2))

Examine, whether the following numbers are rational or irrational: (i) (2-sqrt(2))(2+sqrt(2)) (ii) (sqrt(2)+sqrt(3))^2

If a and b are rational numbers and (sqrt(2)+2sqrt(3))/(2sqrt(2)+sqrt(3))=a+b sqrt(6)