Question

8000 is a perfect cube.
Find the unit's digit of its cube root.​

Answer 1

Here's your answer mate

We know that,

A number multiplied by itself three times then it is called Perfect cube.

A number ending with 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 0 then it's cube ends with 1 , 8 , 7 , 4 , 5 , 6 , 3 , 2 , 0 respectively.

So, Here 8000 is the cube of some number.

8000 ended with 0 , so it's cube root should end with 0

Let's check

$\sqrt[3]{8000} \\ \sqrt[3]{20 \times 20 \times 20} \\ \sqrt[3]{ {20}^{3} } \\ = 20$

Therefore, Cube root of 8000 ends with 0

or

you can say that, Digit in the units place of cube root of 8000 is 0

HOPE IT HELPS YOU!