" If "x=3+2sqrt(2)" ,then find whether "x+(2)/(" is rational or irrational.")

If x = 3 + 2sqrt(2) check whether x+(1)/(x) is rational or irrational.

If x=3+sqrt2 then find whether x-1/x and x^2+1/x^2 is rational or irrational

If x=3+2sqrt(2), check whether x+(1)/(x) is rational or irrational.

Examine; Whether 3+2sqrt(2) is rational or irrational.

Examine, whether 30/(3sqrt5) is a rational or irrational number.

(-2-sqrt(3))(-2+sqrt(3)) when simplified is rational or irrational?

Examine whether (3+sqrt2) (3-sqrt2) is a rational or irrational number.

Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether (2sqrt3+sqrt5)(2sqrt3-sqrt5) is rational or irrational.

Examine whether the following are rational or irrational 9/(3sqrt3)

Find if the following real number is rational or irrational: -sqrt2