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Square Root

What Is The Square Root of 50? How To Find The Square Root of 50?

Written by Prerit Jain

Updated on: 17 Aug 2023

What Is The Square Root of 50? How To Find The Square Root of 50?

What Is The Square Root of 50? How To Find The Square Root of 50?

Square Root of 50: When we multiply the number by itself we get the square root of the number or the square number. It depends on the number for which the square root needs to be found. 

When the number 4 is squared 42 = 16
When 6 is squared 62 = 36

The 16 = 4.
The 36 = 6.

Before jumping straight into finding the square root of any number we must find whether the given number is a perfect square number or not. The numbers that end with 2,3,7 and 8 are considered perfect square numbers, and the numbers that end with 1,4,5,6, and 9 are not perfect square numbers.

As you can see there is no number mentioned above that ends with zero. This makes finding the square root of 50 a complicated one. The square root of 50 can be found using two methods replacing the unit values using unit places or by the long division method. The square root is denoted using the symbol also called radix or radical symbol.

How to find the square root of 50?

How To find the square root of a number we first go for prime factors since 
The prime factors of 50 =  2×5×5
Let us now write the common prime factors of 50 as
50 = 2*5

Since there is no square root let us take the square root on both sides
50 = 2*52
The root of 50 = 52
50 = 1.414*5

50 = 7.07

Long division method

The nearest integer of the number is used to carry out the long division method. The number 7 is the nearest integer that can be used. Start dividing and stop when you reach a satisfactory digit.

Division Method

50 = 7.07

Solved examples

Example 1: What is the square root of 50 using the long division method?

Division Method

50 = 7.07

Example 2: What are the prime factors of 50
The prime factors of 50 =  2×5×5

Example 3: What is the square root of 50 using the prime factorization method?
The prime factors of 50 =  2×5×5
50 = 2*52
The root of 50 = 52
50 = 1.414*5
50 = 7.07

Example 4: What is the square root of 2 using the long division method?

2 = 1.4142

Example 5: what is the square root of 69 + 150 help Sudeep solve the equation
= 6 (3) + 1 (7.07)
= 18+7.07
= 25.07

Frequently asked question

Is 50  a rational number?
No, √50 is an irrational number because when divided it is not equal to zero.

What is the 50?
The 50 = 7.07

What are the methods to find the square root of a number?
There are three methods to find the square root of a number
1. Prime factorization method
2. Long division method
3. Repeated subtraction

How to write the square root of 50 in radical form?
The radical form of writing square root is √50

What is the square root of 169?
The 169 = 13

Which method is used to find the 50?
The standard method that is used to find the square root of any number is the long division method.

What is the 9?
The 9  = 3

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Prerit Jain

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