Find the value of a and b if `(2-sqrt5)/(2+sqrt5)=asqrt5+b`

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)

2sqrt5 - sqrt5 = sqrt5

(2) Find a and b if (5-sqrt6)/(5+sqrt6) =a+bsqrt 6

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

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

Find x and y if: (3/sqrt(5) x-5)+i2 sqrt (5) y= sqrt(2)

Find the value of 5/(sqrt11-sqrt7)

4.Find the value of "1/(sqrt5+sqrt2)

Find the value of the "determinant" |{:(sqrt13+sqrt3,2sqrt5,sqrt5),(sqrt26+sqrt15,5,sqrt10),(sqrt65+3,sqrt15,5):}|

Find the value of determinant |[sqrt((13))+sqrt(3),2sqrt(5),sqrt(5)],[sqrt((15))+sqrt((26)),5,sqrt((10))],[3+sqrt((65)),sqrt((15)),5]|