Question

Find the cube root of 13824 by prime factorization method​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

24

Step-by-step explanation:

First find factors of 13824

2 13824

2 6912

2 3456

2 1728

2 864

2 432

2 216

2 108

2 54

3 27

3 9

3 3

 1

13824=2×2×2×2×2×2×2×2×2×3×3×3

13824=29⋅33

Taking cuberoot

∴3

√

13824

=3

√

29⋅33

=23×3

=24

∴ 13824 is a perfect cube

I hope this helps!