Question

find cube root of 110592 using prime factoristation.

Answer 1

Answer:

Step-by-step explanation:

Cube root of 110592 = 48

Step-by-step explanation:

Resolving 110592 into product prime factors.

2| 110592

____________

2| 55296

____________

2| 27648

____________

2| 13824

____________

2| 6912

____________

2| 3456

____________

2| 1728

____________

2| 864

____________

2| 432

_____________

2| 216

_____________

2| 108

_____________

2| 54

_____________

3| 27

_____________

3| 9

______________

***3

110592

= (2×2×2)×(2×2×2)×(2×2×2)×(2×2×2)×(3×3×3)

Now,

Cube root of 110592

= 2×2×2×2×3

= 48

Therefore,

Cube root of 110592 = 48

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