Find the value of `a` and `b` from the following:
`(2-sqrt(5))/(2+sqrt(5))=a sqrt(5)+b`

Find the value of a and b in each of the following (i)(3+sqrt(2))/(3-sqrt(2))=a+bsqrt(2)" "(ii)(sqrt(2)+1)/(sqrt(2)-1)=a-bsqrt(2)" "(iii)(5+4sqrt(3))/(5-4sqrt(3))=a-bsqrt(3)

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)

Find the values of a and b in each of the (5+3sqrt(2))/(5-3sqrt(2))= a+b sqrt(2)

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))=a+b\ sqrt(15)

Find the values of a and b in each of the (sqrt(7)-2)/(sqrt(7)+2)= a sqrt(7)+b

Find the value of the following log_((5+2sqrt6)) (5-2sqrt6)

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(2)+\ sqrt(3))/(3sqrt(2\ )-\ 2sqrt(3))=a-b\ sqrt(6)

Evaluate the following: \ (1+2sqrt(x))^5+(1-2sqrt(x))^5

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (5+sqrt(3))/(7-4sqrt(3))=47\ a+\ sqrt(3)\ b

Evaluate the following: \ (3+sqrt(2))^5-(3-sqrt(2))^5