यदि `x= root(3)(2+sqrt(3))`, तब `x^(3)+(1)/(x^(3))=`

यदि x+(1)/(x)=sqrt(3) है तब x^(3)+(1)/(x^(3)) का मान होगा -

if x=sqrt(3)+(1)/(sqrt(3)) and y=sqrt(3)-(1)/(sqrt(3)) then x^(2)-y^(2) is

If x=sqrt(3)-sqrt(2) then (1)/(x^(3))-x^(3)=

Prove that 3 tan^(-1) x= {(tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " -(1)/(sqrt3) lt x lt (1)/(sqrt3)),(pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x gt (1)/(sqrt3)),(-pi + tan^(-1) ((3x - x^(3))/(1 - 3x^(2))),"if " x lt - (1)/(sqrt3)):}

If x= ( root(3) (m+1) + root(3) (m-1))/( root(3) (m+1) - root(3) (m-1)) then the value of x^3 - 3mx^2 +3x -m is

Which of the following expressions are polynomials ? In case of a polynomial , write its degree. (i) x^(5)-2x^(3)+x+sqrt(3) (ii) y^(3)+sqrt(3)y (iii) t^(2)-(2)/(5)t+sqrt(5) (iv) x^(100)-1 (v) (1)/(sqrt(2))x^(2)-sqrt(2)x+2 (vi) x^(-2)+2x^(-1)+3 (vii) 1 (viii) (-3)/(5) (ix) (x^(2))/(2)-(2)/(x^(2)) (x) root(3)(2)x^(2)-8 (xi) (1)/(2x^(2)) (xii) (1)/(sqrt(5))x^(1//2)+1 (xiii) (3)/(5)x^(2)-(7)/(3)x+9 (xiv) x^(4)-x^(3//2)+x-3 (xv) 2x^(3)+3x^(2)+sqrt(x)-1

If 3^(root(3)(x))+4^(root(3)(x))= 5^(root(3)(x)) then what is the value of x is? यदि 3^(root(3)(x))+4^(root(3)(x))= 5^(root(3)(x)) है तो x का मान क्या है?

Let x=root(3)(2+sqrt5)+root(3)(2-sqrt5), then x^3+3x is equal to (i)1 (ii)2 (iii)3 (iv)4

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1 b.0 c.2 d.4