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What Is The Square Root Of 13?

Square Root Of 13

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 13-9=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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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

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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