If `sqrt2 and 3i` are two roots of a biquadratic equation with rational coefficients,then its equation is

If sqrt(2) and 3i are two roots of a biquadratic equation with rational coefficients,then its equation is

If 1+sqrt(2) is a root of a quadratic equation with rational coefficients,write its other root.

If 1+sqrt(2) is a root of a quadratic equation with rational coefficients, write its other root.

The quadratic equation with rational coefficients whose one root is 3+sqrt2 is

The quadratic equation with rational coefficients whose one root is 3+sqrt2 is

The quadratic equation with rational coefficients whose one root is 2-sqrt(3) is

Form a quadratic equation with rational coefficients whose one root is 3-sqrt5 .

Form a quadratic equation with rational coefficients whose one root is 4+sqrt7 .

The biquadratic equation with rational coefficients having roots 2 + sqrt(3) , 3+ 4i is

Statement -1 : There is just one quadratic equation with real coefficient one of whose roots is 1/(sqrt2 +1) and Statement -2 : In a quadratic equation with rational coefficients the irrational roots are in conjugate pairs.