How To find out the value of cube root of 24389
We will find all the factors under the cube root of 24389 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 –
∛24389
Step 1: There are 5 digits in the given number. So here we consider the first two digits from left, i.e., 24 and the last digit 9 from the unit place
Step 2: Our aim is to identify cube root of 24389. So, consider the two digit which of 24389. The first two digit 24. Now, find the number having cube root as 24. If 24 is not cube root of any number take the smaller number than 24 that is 8 which is cube root of 2.
Step 3: The nearest value of cube which is lesser than 24 is 8
2ᶟ= 8
Step 4: Now the first digit in the value of cube root of 24389 becomes 2
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 24389.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 24389.
Now we know that the cube value of 9 is 729.
(for easy understanding, 9 is the value of cube root of 729
i.e., when 9 multiplied thrice its value is 729. And in the value 24389 the last digit also is 9. Hence the unit digit is 9, x=9)
So the last digit in the unit place is 9
Step 6 : Hence the value of x in ∛24389 = 2x ,value of the last digit in unit place becomes 9
i.e., x= 9
Therefore, we can claim that the value of cube root of the given number 24389 is 29
Step 7: The final answer can be expressed as ∛24389= 29
Multiple choice Question
NO.1 ) What should be the One’s digit in the cube root for the cube number 24389?
a) 2
b) 3
c) 5
d) None
Answer is d) None
To find the value of ‘x’ in 2x, which is the value of cube root of 24389.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 24389.
Now we know that the cube value of 9 is 729.
(for easy understanding, here 9 is the value of cube root of 729
i.e., when multiplied thrice its value is 729. And in the value 24389 the last digit also is 9. Hence the unit digit is 9, x=9)
So the last digit in the unit place is 9
No.2) How many times 29 is multiplied to get the value 24389?
a) Two times
b) Three times
c) Four times
d) Five times
Answer is b) three times
Because 29 multiplied three times gives the value 24389 which means 29ᶟ= 24389