If `a+b sqrt(6)=(1)/(5+2sqrt(6))` then find the values of `a`and `b` where `a` and `b` are rational numbers.

If (5+sqrt(6))/(5-sqrt(6))=a+b sqrt(6) then find the values of a and b

(5-sqrt(6))/(5+sqrt(6))=a-b sqrt(2) find the values of a and b .

If (3+2sqrt(3))/(3-sqrt(3))=a+sqrt(3)b , then the value of sqrt(a+b) , where a and b are rational numbers, is

If a=5+2sqrt(6) and b=(1)/(a), then find the value of a^(2)+b^(2)

If (5+sqrt(6))/(5-sqrt(6))=a+b sqrt(6) then find a and b

24.1fa=5+2sqrt(6) and b=(1)/(a) then find the value of a^(2)+b^(2)

if (1)/(sqrt(2)+sqrt(3)+sqrt(5))=a sqrt(2)+b sqrt(3)+c sqrt(30) then value of a+b+c is (where a,b,c are rational numbers)

Express 1-(1)/(1+sqrt(3))+(1)/(1-sqrt(3)) in the form a+bsqrt(3) , where a and b are rational numbers, then the values of a and b respectively are

If 4+sqrt5 is a zero of polynomial. x^3+bx^2-5x+c then find the b and c where b and c are rational numbers.

If a+sqrt(b)=c+sqrt(d) where a and c are rational numbers sqrt(b) and sqrt(d) are irrational numbers then prove that a=c and b=d .