How To find out the value of cube root of 3375
We will find all the factors under the cube root of 3375 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 –
∛3375
Step 1: There are 4 digits in the given number. So here we consider the first digit i.e.,3and the last digit is i.e.,5
Step 2: Our aim is to identify cube root of 3375. So, consider the first digit which of 3375. The first digit 3. Now, find the number having cube root as 3. If 3 is not cube root of any number take the smaller number than 1 that is 1 which is cube root of 1.
Step 3: The nearest value of cube lesser than 3 is 1
1ᶟ= 1*1*1*= 1
Step 4: Now the first digit in the value of cube root of 3375 becomes 1
Let us assume the second digit after 1 be x (= 1x)
Step 5: To find the value of ‘x’ in 1x, which is the value of cube root of 3375.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube number 3375.
Now we know that the cube value of 5 is equal to 125.
(for easy understanding, 5 is the value of cube root of 125
i.e., when 5 multiplied thrice its value is 125. And in the value 125 the last digit also is 5. Hence the unit digit is 5, x=5 )
∛3375 = 15. So the last digit in the unit place is 15
Step 6: Hence the value of x in ∛3375 = 1x ,value of the last digit in unit place becomes 5
i.e., x= 5
Therefore, we can claim that the value of cube root of the given number 3375 is 15
Step 7:The final answer can be expressed as ∛3375 = 15
Hence the value of cube root of 3375 is 15.
Multiple choice Question
NO.1) What should be the value of unit’s digit in the cube root for the cube value 3375 ?
a) 8
b) 4
c) 6
d) None of the above
Answer is d) None of the above
Because the last digit in the unit place in the cube value 3375 is 5 . hence the value of cube root of unit’s place should be 5 since 5 divides any number completely that ends with 5.
No.2) which of the following is the value of 15ᶟ ?
a) 3375
b) 1000
c) 1225
d) None of the above
Answer is a) 3375
Because 15 multiplied three times gives the value 3375 which means 15ᶟ= 3375