Find the cube root of 9261 by prime fractorization method.
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Step 1:
Take the digit at the unit’s place.
Unit Place of 9621 has —> 1
Step 2:
Check with the cubes table provided above. The cube of which number has 1 at its unit place.
Clearly, 13 = 1
That means the cubic root of 9261 will have 1 at the unit place.
Step 3:
So, we have got the unit place digit of our answer.
Now ignore the last 3 digits of 9261, i.e. 261
Taking 9 as a reference number, we can see 9 lies between cube of 2 and cube of 3, i.e., between 8 and 27.
So, we will choose here the lowest number, nearest to 9, which is 8.
Since, 23 = 8, therefore, we will have 2 as the first digit of the required number.
Hence, 3√9261 = 21
Step-by-step explanation:
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