`(3/(sqrt(5))x-5)+i2sqrt(5)y=sqrt(2)`

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

Find the values of x and y if : (3/sqrt5 x-5)+2 sqrt5 yi= sqrt2 .

Simplify the following expressions: (i) (4+sqrt(7))(3+sqrt(2)) (ii) (3+sqrt(3))(5-sqrt(2)) (iii) (sqrt(5)-2)(sqrt(3)-sqrt(5)) (iv) (sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)

x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) then find x^(2)+y^(2)=?

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(2)), then x+y+xy=9(b)5(c)17(d)7, then

If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)),y=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) find the value of (x-y)^(2)

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), then (x+y) equals (a) 2(sqrt(5)+sqrt(3))( b) 2sqrt(15)(c)8 (d) 16

Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2)i)-(sqrt(3)-i sqrt(2)))