How to find out the value of cube root of 9261
We will find all the factors under the cube root of 9261 and then we will take three values at a time and when we apply the cube root on the complete prime factorization then those three values which we have taken at a time then only one value out of three will come out. So let’s start –
∛ 9261
Step 1: There are 4 digits in the given number. So here we consider the first digit i.e.,9and the last digit in the unit place is 1
Step 2: Our aim is to identify cube root of 9261. So, consider the first digit which of 9261. The first digit 9. Now, find the number having cube root as 9. If 9 is not cube root of any number take the smaller number than 9 that is 8 which is cube root of 2.
Step 3: The value of cube which is equal to 2 is 8
Step 4: Since the cube value 8 ˂9
Hence the first digit in the value of cube root of 9261 becomes 2 ,i.e the value of cube root of 8
Let us assume the second digit after 2 be x (= 2x)
Step 5: To find the value of ‘x’ in 2x, which is the value of cube root of 9261.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube number 9261.
Now we know that the cube value of 1 is equal to 1 .
(for easy understanding, 1 is the value of cube root of 1 . 1 multiplied thrice its value is 1. And in the cube root of 1, the last digit also is 1. Hence the unit digit is 1, x=1 )
∛9261 = 1 So the last digit in the unit place is 1
Step 6: Hence the value of x in ∛9261 = 2x ,value of the last digit in unit place becomes 1
i.e., x= 1
Therefore, we can claim that the value of cube root of the given number 9261 is 21
Step 7: The final answer can be expressed as ∛9261 = 21
Multiple choice Question :
NO.1) What should be the value of unit’s digit in the cube root for the cube number 9261?
a) 8
b) 3
c) 1
d) 2
Answer is c) 1
According to the method to find the value of ‘x’ we have to consider the last digit of the cube number 9261
Now we know that the cube value of 1 is 1 whose value ends with 1 itself.
No.2) what is the value of 21ᶟ ?
a) 9261
b) 13310
c) 2184
d) 1728
Answer is a) 9261
Because 21 multiplied three times gives the value 9261
21*21*21= 9261