2(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

If both a and b are rational numbers,find the values of a and b in each of the following equalities :(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)( ii) (3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)( iv) (5+sqrt(3))/(7-sqrt(3))=47a+sqrt(3)b(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15) (iv) (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-b sqrt(3)

Find the value of a and b in each of the following :(5+2sqrt(3))/(7+4sqrt(3))=a-b sqrt(3)

If both a and b are rational numbers;find the values of a and b in each of the following equalities ( i (sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)( ii) (5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

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\ a n d\ b : (i)\ (3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2) (ii)\ (5+3sqrt(3))/(7+4sqrt(3))=a+bsqrt(3)

Determine a and b if (5+sqrt(3))/(7-4sqrt(3))=94a+3sqrt(3)b

Find the value of a and b respectively, if (5+sqrt(3))/(7-4sqrt(3))=47a+sqrt(3)b .

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

The following are the steps involved in finding the value of a+b from (2+sqrt(3))/(2-sqrt(3))=a+bsqrt(3) . Arrange them in sequential order. (A) (2^(2)+(sqrt(3))^(2) + 2xx2xxsqrt(3))/(2^(2)-(sqrt(3))^(2))=a+bsqrt(3) (B) a+b=7+4=11 (C) ((2+sqrt(3))(2+sqrt(3)))/((2-sqrt(3))(2+sqrt(3)))=a+bsqrt(3) (D) (7+4sqrt(3))/(4-3)=a+bsqrt(3) (E) a=7 and b=4