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

If x = 3 + 2sqrt(2) check whether x+(1)/(x) 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

Check whether x - 1 is a factor of 3x^3-2x^2-3x+2 .

Check whether (x+2) is a factor of X^3+5x^2-7x+3

If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whether the function f(x) is continuous or discontinuous at x=1

If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whether the function f(x) is continuous or discontinuous at x=1

Check whether (2sqrt(3)+sqrt(5))*(2sqrt(3)-sqrt(5)) is rational or irrotational? Justify your answer

Check whether (x-2) is a factor of x ^(3) - 2x ^(2) - 5x +4

Check whether (x-2) is a factor of x ^(3) - 2x ^(2) - 5x +4