Question

8000 - What will be the 'digit at unit place in the cube root of the given number.

Answer 1

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 it out,

Cube root of 8000

$\sqrt[3]{8000}$

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

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

Answer 2

From the table attached above ,

We observe that , If a number has

0 in the units place , then it's cube

root end with 0.

Here ,

Given number 8000 has 0 in the

units place , then it's cube root ends

with 0.

Or

8000 = ( 20 × 20 × 20 )

= ( 20 )³

cube root of ( 8000 ) = 20

unit place digit is 0.

I hope this helps you.

: )