Question

-
find the cube root of the following
number 8000​

Answer 1

Answer:

8000 =

= 2×4000

= 2×2×2000

= 2×2×2×1000

= 2×2×2×2×500

= 2×2×2×2×2×250

= 2×2×2×2×2×2×125

= 2×2×2×2×2×2×5×25

= 2×2×2×2×2×2×5×5×5

= 2 × 2 × 5

= 20

= 20³

Therefore 8000 = 20³

Answer 2

Answer:

Firstly let us find the factor of 8000

8000 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5

So to find the cube root, we pair the prime factors in 3’s.

8000 = (2 × 2 × 5)3

= (2 × 10)3

= 203

Hence, cube root of 8000 = ∛(8000)

= (203)1/3  

= 20