Question

find the cube root of 8000

Answer 1

Heya !!!



Prime factorisation of 8000 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5


=> 2³ × 2³ × 5³



Hence, Cube root of 8000 = 2 × 2 × 5 = 20.



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Answer 2

Answer:

On calculating, the cube root of 8000 is 20.

Step-by-step explanation:

What is a cube root?

• A factor when multiplied by itself thrice yields the number is called a cube root.
• For example, 2 is the cube root of 8 as when 2 is multiplied by thrice it yields 8.

On factorising 8000,

8000=2×2×2×2×2×2×5×5×5

∴8000=${2^{3}2^{3}5^{3} }$

$\sqrt[3]{8000} =2*2*5$

Therefore, the cube root of 8000 is 20.