Arrange in order of size, smallest to largest,; (i) 0.5^2 (ii) 0.5 (iii) 0.5^3 (iv) 1=3 underroot 0.5.

Arrange in order of size, smallest to largest,; (i) 0.5^2 (ii) 0.5 (iii) 0.5^3 (iv) 1=3 underroot 0.5.

Explanation

Let's calculate the values:

  • (i) 0.5^2 = 0.25
  • (ii) 0.5
  • (iii) 0.5^3 = 0.125
  • (iv) 3√(0.5) ≈ 1.26

Now, we can arrange them in ascending order (smallest to largest):

iii, i, ii, iv

Therefore, the correct answer is (B).