Question

Find the cube root of 1728.

Answer 1

1728 = 8 × 216 = 2 × 2 × 2 × 6 × 6 × 6.

∴ 1728 = 2³ × 6³ = (2 × 6)³ ....[a^m × b^m = (a × b)^m]

`root(3)(1728)` = 2 × 6 = 12      ....(Note that, cube root of -1728 is -12.)