(10)/(10)*(5+3sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)

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

(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)

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)

(3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)

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 direction cosines of the line which is perpendicular to the lines with direction ratios 4, 1, 3 and 2, -3, 1 . a) (1)/(sqrt(3)),(1)/(5sqrt(3)),(-7)/(5sqrt(3)) b) (5)/(sqrt(3)),(1)/(sqrt(3)),(7)/(5) c) (2)/(sqrt(3)),(5)/(2sqrt(3)),(1)/(7sqrt(3)) d) (1)/(sqrt(3)),(2)/(sqrt(3)),(-1)/(sqrt(3))

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

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)