You are here to get the answer to the question of what is the Square Root Of 13, let us see how it is calculated. The Square of a number is a number that when multiplied by itself is equal to the first number. The number 13 square root will be a number which when multiplied by itself gives you the answer 13. Let us see about the Square Root Of 13.
What Is The Square Root Of 13?
The Square Root Of 13 in radical form is written as 44 and the answer to the square root of 44 is 6.63324958071.
 Square Root Of 13 in decimal or fraction
13 = 3.605
 Square Root Of 13 In Exponential Form
13 = 13 1/2
 Square Root Of 13 In Radical Form
44 = 13
How To Find The Square Root Of 13?
To find the square root of 13 there are 2 methods.
 Radical Form
 Long Division Method
Let us find out the squareroot of 13 by both methods

Radical Form
To get the answer of the square for square root for 13 through the radical form method is very simple.
Now as 13 is a prime number so
 13 = 1 x 13
 So, 13 is the lowest and cannot be more simplifies
Therefore, the answer for 13 = 13

Long Division Method
The Square Root Of 13 in long division method is done in 8 steps
Step 1
Pairing numbers from the right side just below the bar.
Step 2
Take such a number that squares but is also less than or equal to the number 13.
For number 13 the number 3 squares to 9 where 9 is less than 13.
Step 3
You get 4 as remainder as 139=4,
Step 4
Now put a decimal point after 3 in the quotient and as pair of zeros beside 13 as well as beside the remainder 4.
Step 5
Now read and understand this carefully
Double the divisor that 3 x 2 = 6 and write it as quotient beside 3.
And also below the divisor but 2 times that is 66 as 66 x 6 is 396
write it below 400 and now the reminder will be 4
now take 2 pairs of 0 with it so it will be 400.
Step 6
Now the quotient is 32 and double of 32 is 72 so now write 72 below divisor that is below 66
Step 7
Now when you multiply 720 x 1 =720 and it is greater than 400 so you have to take 720 x 0 = 0
write 0 beside 3.6 the quotient = 3.60
and 0 besides 72 the divisor = 720
And subtract 000 from 400 remainder = 400 and add a pair zeros to it = 40000
Step 8
Now take such as number besides 720 such that 720a x a is equal to or less then 40000
So, 7205 x 5 – 36025
Write 5 as quotient beside 3.60
Write 5 beside divisor 720
Write 36025 below 40000 as 7205 x 5 = 36025
Step 9
Now remainder is 3975
Quotient is 3.605
Divisor is 7205
Youe get quotient as 3.605 which is the answer to the square root of 13.
You have to write the remainder and repeat it to the desired decimal places.
Is The Square Root Of 13 Rational Or Irrational?
The Square Root Of 13 is an irrational number.
There is no such number that when multiplied by itself will give you the answer 13 so it is not a perfect square so this number is a rational number.
Also, the square root of 13 is 3.605 which has never ending decimals.
So 13 is a irrational number.
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Click here – What Is The Square Root Of 44?
FAQ
Can √ 13 Be Simplified?
No 13 cannot be simplified as we cannot find the square root by prime factorisation method as 13 itself is a prime number.
What Is The Perfect Square Of 13?
The square of 13 is 169 and the square root of 13 is 3.605
Is The Square Root Of 13 Rational Or Irrational?
The Square Root Of 13 is an irrational number.
There is no such number that when multiplied by itself will give you the answer 13 so it is not a perfect square so this number is a rational number.
Also, the square root of 13 is 3.60555127546 which has never ending decimals.
So 13 is a irrational number
How Do You Find The Square Of 13?
To get the answer of the square for square root for 13 through the radical form method is very simple.
Now as 13 is a prime number so
 13 = 1 x 13
 So, 13 is the lowest and cannot be more simplifies
Therefore, the answer for 13 = 13
How To Solve √ 2?
Root 2 is an irrational number as it cannot be expressed as a fraction and has an infinite number of decimals. So, the exact value of the root of 2 cannot be determined.
Conclusion
So 3.60555127546 is the Square Root Of 13 and you can calculate the root of 13 by 2 methods that are radical form & Long Division Method. After understanding the methods as mentioned above you can easily find the Square Root Of 13.
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