Question

Cube root of 13824 without prime factorisation

Answer 1

Answer:

24

Step-by-step explanation:

Answer 2

Step-by-step explanation:

We see that,

13824 = 2 2 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

2

2

2

2

N

2

2

N

13824

6912

3456

1728

864

432

216

108

54

27

9

3

1

Since 2 & 3 occur in triplets

* 13824 is a perfect cube

Cube root of 13824 = 2 * 2 * 2 * 3

= 4 x 6

= 24