Irrational equation/Inequation question practice 01

Irrational fear of disease is

Irrational fear of disease is

For the given statements identify the sufficient condition p·: If discriminarit of a quadratic equation is not a perfect square then its roots are irrational

Prove the following statement by contradiction method p The sum of in irrational number and a rational number is irrational

Let x and y be rational and irrational numbers , respectively. Is x+y necessarily an irrational number ?

The number of irrational solutions of the equation sqrt(x^(2)+sqrt(x^(2)+11))+sqrt(x^(2)-sqrt(x^(2)+11))=4 , is

Statement -1 : There is just on quadratic equation with real coefficients, one of whose roots is 1/(3+sqrt7) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots occur in pair.