Home
Class 12
MATHS
For a prime positive integer n, 3sqrtn+3...

For a prime positive integer `n, 3sqrtn+3sqrt(n^2)` is a root of a polynomial with rational coefficients and least possible degree . The products of all roots of equation is

Promotional Banner

Similar Questions

Explore conceptually related problems

For a prime positive integer n,3sqrt(n)+3sqrt(n^(2)) is a root of a polynomial with rational coefficients and least possible degree.The products of all roots of equation is

Find the polynomial with rational coefficients and whose roots are 1 +- sqrt(3),2,5

Form the polynomial with rational coefficients whose roots are i- sqrt(5)

Form the polynomial with rational coefficients whose roots are i+- sqrt(5)

Form the polynomial with rational coefficients whose roots are 4sqrt(3) ,5+2i

Form the polynomial equation with rational coefficients whose roots are i-sqrt(5)

Form the polynomial equation with rational coefficients whose roots are 4sqrt(3),5+2i

The least degree of a polynomial with integer coefficient whose one of the roots may be cos 12^@ is

The least degree of a polynomial with integer coefficient whose one of the roots may be cos 12^@ is