Which of the following expressions, if any, are equal all real number x?
I `sqrt((-x)^(2))`
II `|-x|`
III `-|x|`

Discuss the sign of the following expressions when x is real i) x^(2)-5x+6 ii) x^(2)-x+3

Discuss the sign of the following expressions when x is real i) x^(2)-5x+6 ii) x^(2)-x+3

Which of the following conditions imply that the real number x is rational ? I x^(1/2) is rational II x^2 and x^5 are rational III x^2 and x^4 are rational II x2 and x3 are rational (A) Jand I only (B) I and IIl only (C) Il and II only (D) I, Il and II (A) Jánd II only (B) I and III only

Which of the following conditions necessarily imply that the real number x is rational,I x^(2) is rational II x^(3) and x^(5) are rational III x^(2) and x^(3) are rational

Which of the following algebraic expressions are polynomials? I. x^(3) + sqrt(3x) + 4 , II. x^(2) + 2sqrt(x) + 4 III. x^(2) + sqrt(x-1) , IV. x^(2) + 3x + 4

For all x > 0 , which of the following expressions is equivalent to i/(sqrt(x) - i) , where i = sqrt(-1) ?

Which of the following conditions imply that the real number x is rational ? (i) x^(1/2) is rational (ii) x^(2) and x^(5) are rational (iii) x^(2) and x^(4) are rational

Which of the following conditions necessarily imply that the real number x is rational, I x^2 is rational II x^3 and x^5 are rational III x^2 and x^3 are rational

Which of the following conditions necessarily imply that the real number x is rational, I x^2 is rational II x^3 and x^5 are rational III x^2 and x^3 are rational

Which of the following quadratic expression can be expressed as a product of real linear factors? (a) x^(2)-2x+3 (b) 3x^(2)-sqrt2x-sqrt3 (c) 2x^(2)+3x-4 (d) sqrt2x^(2)-sqrt5x+3