`x^3-x^2-(2+sqrt2)x + sqrt2` check the polynomial has root of `(x+1)` ?

If two zeroes of the polynomial x^4+3x^3-20x^2-6x+36 are sqrt2 and -sqrt2 . find the other zeroes of polynomial

Find zeroes of the polynomial x^(2)-sqrt(2)x-12 .

If x=sqrt3+sqrt2 , then x+frac1x=

The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2x^2-1)))^6 is polynomial of degree

Let f(x) =4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x , a be any real number. If x-coordinate of vertex of parabola y =f(x) is less than 0 and f(x) has minimum value 3 for x in [0,2] then value of a is (a) 1+sqrt2 (b) 1-sqrt2 (c) 1-sqrt3 (d) 1+sqrt3

Solve for x sqrt3x^2-2sqrt(2)x-2sqrt3=0

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

If x=(sqrt2+1)/(sqrt2-1) ,then x+frac1x=?

If x be very small compered with such that (sqrt(1+ x)+root(3)((1 - x)^(2)))/(sqrt(1+x)+(1+x)) ~~a bx , then the values of a and b are

If (1)/(sqrt2) lt x lt 1 , then prove that cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)