Square Root of 5

Value of root 5

The value of root 5, when reduced to 5 decimal points, is √5 = 2.23606. It has a place with a large list of irrational algebraic numbers. It has been sorted in light because of the fact that the square root of 5 can't be described as a fraction and has an eternal number of decimals. Additionally, the specific value can never be found perfectly. In Mathematics, the square root of 5 is presented or written as √5. It is a positive number and also the value of √5 when multiplied by itself, gives you the prime number 5. To distinguish itself from a negative number with the same properties, it is called as the principal root of 5.


How to Find the Square Root of 5?

This question might be bothering you for quite some time now. The simplest way to find the square root of any number would be by using the division method. How to find the value of root 5? Follow the steps given below:

Step 1: The first step is to group the digits in pairs of two. You start from the unit that is in the unit place and move towards the left-hand side for a number before the decimal point. For the number after the decimal point, you group the first two numbers and move towards the right-hand side.

5. 00 00 00 00 


Step 2: In this step, you will have to pick the largest square number that is either equal to or lesser than the first number pair. Now take this number as the divisor and also note down the quotient. 


Step 3: Now, you subtract the final product of the quotient and the divisor and the quotient from the pair of numbers or the number. Next, you bring down the next pair of numbers.


Step 4: You now need to calculate the divisor. To do that, you’ll have to multiply the previous quotient by 2 and then pick a new number in such a way that the digit and the new divisor is less than or equal to the new dividend


Step 5: Repeat Step 2, Step 3, and Step 4, until all the pairs of numbers are exhausted. Now, the quotient that you’ve found is the square root. In case of the value of under root 5, this is how it is done. 





2.236

  2

+2

5 . 00 00 00 

4

  42

+  2

1 00

- 84

  443

+    3

  16 00

-  13 29

4466

+    6

      27100 

-     26796

4452

          304


Therefore, the square root of 5 = 2.236


What is the Square Root of 5?

The value of root 5, when reduced to 5 decimal points, is 2.23606 and this is just the simplified version of the value. In addition to that, the actual value of root 5 can be equal to at least ten billion digits. 


Sample Questions

1. Using the division method, find the square root of the value 784.

Solution:



28

  2

+2

784

4

  48


  384

- 384

  


  0


2. Using the division method, find the square root of the value 5329

Solution:



73

  7

+7

53 29

49

  143


  4 29

-  4 29


    0


3. Find the square root of 66049

Solution:



257

  2

+2

6 60 49

4

  45

+  5

2 60

2 25

507

  35 49

-  35 49


      0


Frequently Asked Questions


1. How to Find the Value of Root 5?


Solution: Follow the steps given below:


Step 1: The first step is to group the digits in pairs of two. You start from the unit that is in the unit place and move towards the left-hand side for a number before the decimal point. For the number after the decimal point, you group the first two numbers and move towards the right-hand side.


Step 2: In this step, you will have to pick the largest square number that is either equal to or lesser than the first number pair. Now take this number as the divisor and also note down the quotient. 


Step 3: Now, you subtract the final product of the quotient and the divisor and the quotient from the pair of numbers or the number. Next, you bring down the next pair of numbers.


Step 4: You now need to calculate the divisor. To do that, you’ll have to multiply the previous quotient by 2 and then pick a new number in such a way that the digit and the new divisor is less than or equal to the new dividend


Step 5: Repeat Step 2, Step 3, and Step 4, until all the pairs of numbers are exhausted. Now, the quotient that you’ve found is the square root. In case of the value of under root 5, this is how it is done. 



2.236

  2

+2

5 . 00 00 00 

4

  42

+  2

1 00

- 84

  443

+    3

  16 00

-  13 29

4466

+    6

      27100 

-     26796

4452

          304


Therefore, the square root of 5 = 2.236


2. What is the Square Root of 5?


Solution : The value of root 5, when reduced to 5 decimal points, is 2.23606 and this is just the simplified version of the value.