How To find out the value of cube root of 17576
We will find all the factors under the cube root of 17576 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 –
Step 1: There are 5 digits in the given number. So here we consider the first two digits from left 17 and the last digit 6
Step 2 :Our aim is to identify cube root of 17576. So, consider the two digit which of 17576. The first two digit 17. Now, find the number having cube root as 17. If 17 is not cube root of any number take the smaller number than 17 that is 8 which is cube root of 2.
Step 3: The nearest value of cube which is lesser than 17 is 8
2ᶟ= 8
Step 4: Now the first digit in the value of cube root of 17576 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 17576.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 17576.
Now we know that the cube value of 6 is 216.
(for easy understanding, here 6 is the value of cube root of 216
i.e., when 6 multiplied thrice its value is 216. And in the value 17576 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 ∛17576 = 26 ,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 17576 is 26
Step 7: The final answer can be expressed as ∛17576 = 26
Multiple choice Question
NO.1 ) What should be the One’s digit in the cube root for the cube number 17576 ?
a) 2
b) 3
c) 5
d) None
Answer is b) 5
To find the value of ‘x’ in 2x, which is the value of cube root of 17576.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 17576
Now we know that the cube value of 6 is 216.
(for easy understanding, here 6 is the value of cube root of 216
i.e., when multiplied thrice its value is 216. And in the value 17576 the last digit also is 6. Hence the unit digit is 5, x=5)
So the last digit in the unit place is 6
No.2) How many times 26 is multiplied to get the value 17576?
a) Two times
b) Three times
c) Four times
d) Five times
Answer is b) three times
Because 26 multiplied three times gives the value 17576 which means 26ᶟ= 17576