Find the cube root of 314432 using unit digit method.

Given :

The given number is 314432.

To find : 

We have to find the cube root of 314432 by unit digit method.

Solution :

314432

Step 1 :

Split the given number into two groups.

314 and 432.

Step 2 :

Take 432,

2 is the unit digit of 432.

$8^{3} =8\times8\times8 =  512$

So, the cube root will end at 8.           

 Step 3 :

Take 314 now,

Cube root of the number less than 314 is 6    

Cube root will start with 6.

$6\times6\times6 = 216$     

So, $68^{3} = 68\times68\times68 = 314432$

Therefore, the cube root of given number 314432 is 68.

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Updated on: 10-Oct-2022

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