Question

13824 - What will be the 'digit at unit place in the cube root of the given number.

Answer 1

unit digit will be 4.

cube root of 13824 = 24 .

Answer 2

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 13824 is the cube of some number.

13824 ended with 4 , so it's cube root should end with 4 .

Let's check it out,

Cube root of 13824

$\sqrt[3]{13824 }$


$\sqrt[3]{24 \times 24 \times 24} \\ \\ = \sqrt[3]{ {24}^{3} } \\ \\ = 24$

Therefore, Cube root of 13824 ends with 4 or

you can say that, Digit in the units place of cube root of 13824 is 4