`sqrt3/sqrt2+sqrt2/sqrt3`

Solve: (sqrt 3+ sqrt2)(sqrt2-sqrt3)

If x=(sqrt3+sqrt2)/(sqrt3-sqrt2)andy=(sqrt3-sqrt2)/(sqrt3+sqrt2) then find the value of x^(2)+y^(2) ?

The expression sqrt(6+2sqrt3+2sqrt2+2sqrt6)-sqrt(3-2sqrt2) simplifies to :-

Find (sqrt3 - sqrt 2)/(sqrt 3+sqrt 2) -(sqrt3 + sqrt 2)/(sqrt 3-sqrt 2) +1/(sqrt2+1)-1/(sqrt2-1)

The value of (sqrt(3+2sqrt2)+sqrt(3-2sqrt2))^(2^(9)) is ________.

Simplify: (2sqrt(2)+sqrt(3))/(2sqrt(2)-sqrt(3))

Examine whether the following numbers are rational or irrational : (2 sqrt3 - 3 sqrt2) (2sqrt3 + 3 sqrt2)

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 : (sqrt5+sqrt2)(sqrt3+sqrt2)

if sqrt2=1.414and sqrt3=1.732 then find the value of 4/(3sqrt3-2sqrt2)+3/(3sqrt3+2sqrt2)