`(sqrt5+sqrt2)(sqrt3+sqrt2)`

Simplify (3sqrt5-5sqrt2)(4sqrt5+3sqrt2)

If x=(sqrt5+sqrt2)/(sqrt5-sqrt2) and y=(sqrt5-sqrt2)/(sqrt5+sqrt2) then find the value of (3x-2y)(x+2y)

Find rational numbers a and b such that (i) (sqrt2-1)/(sqrt2+1)=a+bsqrt2 (ii) (2-sqrt5)/(2+sqrt5)=asqrt5+b (iii) (sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6 (iv) (5+2sqrt3)/(7+4sqrt3)=a+bsqrt3

Simplify: (sqrt5-sqrt2)(sqrt2-sqrt3)

Evaluate: (iv) ((3+sqrt5i)(3-sqrt5i))/((sqrt3+sqrt2i)-(sqrt3-sqrt2i))

The value of (2 sqrt10)/(sqrt5+ sqrt2- sqrt7)- sqrt(( sqrt5-2)/(sqrt5+2))-3/(sqrt7-2) is :- (2 sqrt10)/(sqrt5+ sqrt2- sqrt7)- sqrt(( sqrt5-2)/(sqrt5+2))-3/(sqrt7-2) का मान है :

Simplify ((sqrt3+sqrt5)(sqrt5+sqrt2))/(sqrt2+sqrt3+sqrt5)

Show that (sqrt5+sqrt3)/(sqrt5-sqrt3)-(sqrt5-sqrt3)/(sqrt5+sqrt3)=2sqrt15