Question

find cube root of 9261 in prime factorization method with steps pls​

Answer 1

Answer:

21

Step-by-step explanation:

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