Question

How to find cube root

Answer 1

Take an example of 216

Finding the cube root of 216.

LCM of 216

$\begin{array}{r | l} 2 & 216 \\ \cline{2-2} 2 & 108 \\ \cline{2-2} 2 & 54 \\ \cline{2-2} 3 & 27 \\ \cline{2-2} 3 & 9 \\ \cline{2-2} 3 & 3 \\ \cline{2-2} & 1 \end{array}$

216 = 2 x 2 x 2 x 3 x 3 x 3

=> (2x2x2) (3x3x3)

=> 2 x 3 = 6

Hence , cube root of 216 is 6

=> 6^3 = 6 x 6 x 6 = 216

Answer 2

Take an example of 216

Finding the cube root of 216.

LCM of 216

216 = 2 x 2 x 2 x 3 x 3 x 3

=> (2x2x2) (3x3x3)

=> 2 x 3 = 6

Hence , cube root of 216 is 6

=> 6^3 = 6 x 6 x 6 = 216