Question

Find the cube root of the following integers - 274 4000

Answer 1

Answer:

∛2744000 = 140

Step-by-step explanation:

Find the cube root of the following integers - 2744000

2744000 = 2744 * 1000

= 2 * 1372 * 1000

= 2 * 2 * 686 * 1000

= 2 * 2 * 2 * 343 * 1000

= 2 * 2 * 2 * 7 * 49 * 1000

= 2 * 2 * 2 * 7 * 7 * 7 * 1000

= 2 * 2 * 2 * 7 * 7 * 7 * 10 * 10 * 10

= 2³ * 7³ * 10³

= (2 * 7 * 10)³

= (140)³

Taking cube root

= 140

∛2744000 = 140

Answer 2

Answer:

140

Step-by-step explanation:

We can find the cube root of the given integer by prime factorization method described as follows

2744000 = 2 x 1372000

                = 2 x 2 x 686000

                = 2 x 2 x 2 x 343000

                = 2 x 2 x 2 x 343 x 1000

                = (2 x 2 x 2) x (7 x 7 x 7) x (10 x 10 x 10)

⇒∛2744000 = 2 x 7 x 10

                      = 140