How To find out the value of cube root of 97336
We will find all the factors under the cube root of 97336 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
∛97336
Step 1: There are 5 digits in the given number. So here we consider the first two digits from left, i.e., 97 and the last digit 6 from the unit place
Step 2 : Our aim is to identify cube root of 97336. So, consider the first two digits which of 97336. The first two digits are 97. Now, find the number having cube root as 97. If 97 is not cube root of any number take the smaller number than 97 that is 64 which is cube root of 4.
Step 3: The nearest value of cube which is lesser than 97 is 64
4ᶟ= 64
Step 4: Now the first digit in the value of cube root of 97336 becomes 4
Let us assume the second digit after 4 be x (= 4x)
Step 5: To find the value of ‘x’ in 4x, which is the value of cube root of 97336.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 97336.
Now we know that the cube value of 6 is 216.
(for easy understanding, 6 is the value of cube root of 216.
i.e., when 6 multiplied thrice its value is 216. And in the value 97336 the last digit also is 6. Hence the unit digit is 6, x=6)
So the last digit in the unit place is 6
Step 6 : Hence the value of x in ∛97336 = 46 ,value of the last digit in unit place becomes 6
i.e., x= 6
Therefore, we can claim that the value of cube root of the given number 97336 is 46
Step 7: The final answer can be expressed as ∛97336 = 46
Multiple choice Question
NO.1) What should be the One’s digit in the cube root for the cube number 97336?
a) 5
b) 4
c) 2
d) 6
Answer is d) 6
Now we know that the cube value of 6 is 216.
i.e., when 6 multiplied thrice its value is 216. And in the value 97336 the last digit also is 6. Hence the unit digit is, x=6)
So the last digit in the unit place is 6
No.2) How many times 46 is multiplied to get the value 97336?
a) Two times
b) Three times
c) Four times
d) Five times
Answer is b) three times
Because 46 multiplied three times gives the value 97336 which means 46ᶟ= 97336