(1) `(3+sqrt6)/(sqrt3+sqrt2)=a+bsqrt3`

Find the values of a and b if : (2sqrt(3)+3sqrt(2))/(2sqrt(3)-3sqrt(2))=a+bsqrt(6)

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)

Find the values of a and b in each of the (3)/(sqrt(3)-sqrt(2))= a sqrt(3)-bsqrt(2)

If (3 + sqrt7)/(3 - sqrt7) = a + bsqrt7 , then ( a , b ) =

Prove that cot 7 ""(1^(@))/(2) = sqrt2 + sqrt3 + sqrt4 + sqrt6 = (sqrt3 + sqrt2) (sqrt2 +1 ).

Simplify : (sqrt(2))/(sqrt(6)-sqrt(2))- (sqrt(3))/(sqrt(6)+sqrt(2))

Find (sqrt3 - sqrt 2)/(sqrt 3+sqrt 2) -(sqrt3 + sqrt 2)/(sqrt 3-sqrt 2) +1/(sqrt2+1)-1/(sqrt2-1)

1/(sqrt3 + sqrt2) + 1/(sqrt3 -sqrt2)=

Find the value of a and b if (i)(sqrt(3)+1)/(sqrt(3)-1)=a+bsqrt(3)" "(ii)(5+2sqrt(3))/(5-2sqrt(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)