[" 16."x^(3)sqrt(x^(2)+2)],[" (17) "(1)/(x^(2)*root(4)((x^(4)+1)^(3)))],[" 18: "(x^(5))/(sqrt(1+3))]

Expand (2x^(2)-3sqrt(1-x^(2)))^(4)+(2x^(2)+3sqrt(1-x^(2)))^(4)

If x=sqrt(3)+sqrt(2), then x+(1)/(x),x^(2)+(1)/(x^(2)),x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4))

sqrt(2^(x)(4^(x)(0.125)^((1)/(x)))^((1)/(3)))=4.(2^((1)/(3)))

If x=sqrt(3)+sqrt(2), then find x+(1)/(x),x^(2)+(1)/(x^(2)),x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4))

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

Simplify root(5)(x^(4)root(4)(x^(3)root(3)(x^(2)sqrt(x))))

lim_(x rarr oo) (sqrt(x^(2) + 1) - root(3)(x^(3) + 1))/(root(4)(x^(4) + 1) - root(5) (x^(4) + 1)) equals :

If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4))

If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4))