Find out the Cube root of 15625

How To find out the value of cube root of 15625

 

We will find all the factors under the cube root of 15625 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

 

15625

 

Step 1:  There are 5 digits in the given number. So here we consider the first two digits from left 15and the last digit 5

 

Step 2: Our aim is to identify cube root of 15625. So, consider the two digit which of 15625. The first  two digit 15. Now, find the number having cube root as 15. If 15 is not cube root of any number take the smaller number than 15 that is 8 which is cube root of 2.

 

Step 3:  The nearest value of cube which is lesser than 15 is 8

2ᶟ= 8

 

Step 4:  Now the first digit in the value of cube root of 15625 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 15625.

According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 15625.

Now we know that the cube value of 5 is 125.

(for easy understanding, here 5 is the value of cube root of 125

i.e., when 5 multiplied thrice its value is 125. And in the value 15625 the last digit also is 5. Hence the unit digit is 5, x=5)

So the last digit in the unit place is 5

 

Step 6 :    Hence the value of x in ∛15625 = 25 ,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 15625 is 25

 

Step 7:  The final answer can be expressed as ∛15625 = 25

 

Multiple choice Question- 

 

NO.1 ) What should be the One’s digit in the cube root for the cube number 15625 ?

a) 2

b) 3

c) 5

d) None

Answer is c) 5

To find the value of ‘x’ in 2x, which is the value of cube root of 15625.

According to the method to find the value of ‘x’ we have to consider the last digit of the cube value, 15625.

Now we know that the cube value of 5 is 125.

(for easy understanding, here 5 is the value of cube root of 125

i.e., when 5 multiplied thrice its value is 125. And in the value 15625 the last digit also is 5. Hence the unit digit is 5, x=5)

So the last digit in the unit place is 5

 

No.2) How many times 25 is multiplied to get the value 15625?

a) Two times

b) Three times

c) Four times

d) Five times

Answer is b) three times

Because 25 multiplied three times gives the value 15625 which means 25ᶟ= 15625

Updated: October 21, 2021 — 11:33 am

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