How To find out the value of cube root of 27000
We will find all the factors under the cube root of 27000 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
∛27000
Step 1: There are 5 digits in the given number. So here we consider the first two digits from left, i.e., 27 and the last digit 0 from the unit place
Step 2 :Our aim is to identify cube root of 27000. So, consider the two digit which of 27000. The first two digit 27. Now, find the number having cube root as 27. If 27 is not cube root of any number take the smaller number than 27 that is cube root of 3.
Step 3 :We know that the value of cube of 3 is 27
Step 4: Now the first digit in the value of cube root of 27000 becomes 3
Let us assume the second digit after 3 be x (= 3x)
Step 5: To find the value of ‘x’ in 3x, which is the value of cube root of 27000.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 27000.
Now we know that the cube value of 10 is 1000.
(for easy understanding, 10 is the value of cube root of 1000
i.e., when 10 multiplied thrice its value is 1000. And in the value 27000 the last digit also is 0. Hence the unit digit is 0, x=0)
So the last digit in the unit place is 0
Step 6 : Hence the value of x in ∛27000 = 3x ,value of the last digit in unit place becomes 0
i.e., x = 0
Therefore, we can claim that the value of cube root of the given number 27000 is 30
Step 7: The final answer can be expressed as ∛27000 = 30
Multiple choice Question
NO.1 ) What should be the One’s digit in the cube root for the cube number 27000?
a) 2
b) 3
c) 5
d) None
Answer is d) None
To find the value of ‘x’ in 3x, which is the value of cube root of 27000.
According to the method to find the value of ‘x’ we have to consider the last digit of the cube Value, 27000.
Now we know that the cube value of 10 is 1000.
(for easy understanding, here 10 is the value of cube root of 1000
i.e., when multiplied thrice its value is 1000. And in the value 27000 the last digit also is 0. Hence the unit digit is 0, x=0)
So the last digit in the unit place is 0
Q.No.2) How many times 30 is multiplied to get the value 27000?
a) Two times
b) Three times
c) Four times
d) Five times
Answer is b) three times
Because 30 multiplied three times gives the value 27000 which means 30ᶟ= 27000