Square Root of 13

Value of Square Root of 13 is approximately equal to 3.60555. Here, as we already know the square root of an integer is the value that returns the original number when multiplied by itself. i.e, 3.60555 × 3.60555 = 13. The square root of 13 is written as √ 13, with the radical sign ‘ √ ‘ and the radicand being 13. In this article, we will learn the various methods of finding a square root of 13.

What is the Square Root of 13?

The square root of 13 is 3.605. Even, It is a number with a square of 13 because the square root of 13 is equal to both positive and negative integers 3.605 and – 3.605, we can obtain 13 by squaring both positive and negative 13. Hence the square root of 13 can be written as ;

• √13 = 3.60555128
• (13)^1/2 = 3.60555128

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Square Root of 13 Calculator

How to Calculate a Square Root of 13?

A square Root of 13 can be calculated using the following methods:

• Long Division Method
• Estimation Method

Square Root of 13 by Long Division Method

The following procedures must be followed to determine the square root of 13:

• Step 1: As here we start with the number 13 and use decimal points with the pairing of zeroes.

• Step 2: Choose a perfect square less than 13 as the initial dividend 9. Hence divisor will be 3.
• Step 3: Since the divisor is 3, the quotient is 3 therefore dividend will be 13. Subtract 9 from 13 and add 3 in the divisor.
• Step 4: The new divisor is 6, the dividend is 6. Now put decimal after 3 in quotient and bring down two zeros. Therefore new dividend is 400.
• Step 5: Add a digit at the left of 6 in the divisor i.e. at the unit place and also place the same digit in the quotient such that the product is near to 400.
• Step 6: Add 6 in the divisor using step 5 hence, the new dividend will be 66 × 6 = 396. Subtract 396 from 400.
• Step 7: This process should be repeated until the square root of 13 is found in three decimal places.
• Therefore, the value of the square root of 13 approximately will be 3.605.. so on.

Read More about Square Root by Long Division Method.

Square Root of 13 by Estimation method

Let’s estimate the square root of 13 using the estimation method:

• Step 1: Let’s begin with the number 13.
• Step 2: Now, let’s use the square function to determine whether the guess is too big or too small. Thus, 3^2 = 9 it’s too small.
• Step 3: So, Let’s take 3.5 because 3 is too small. i.e, √13 = 3.5
• Step 4: Again, use the square function to determine whether the guess is closer to the actual value. Thus, 3.5^2 = 12.25.
• Step 5: If 3.5 is still small, we have to continue with the same process.

Therefore, You can improve your estimate by continuously following these easy procedures until you achieve the accuracy that want. Hence, according to me,√13 in this instance is approximately a value is 3.5

Is Square Root of 13 Rational or Irrational?

An irrational number cannot be stated as the ratio of two integers. The irrational number has a non-terminating, non-recurring decimal form. Let’s now examine the square root of 13.

√13 = 3.60555128

So, the square root of 13 shows us that it is a never-ending process, and continues after the decimal point too.
Therefore, the Square root of √13 is an irrational number.

Read More,

• List of Square Roots from 1 to 30
• Square Root Symbol 
• Prime Factorization

Square Root of 13 Value – FAQs

What is the Root Value of 13?

Value of Square root of 13 is approximately equals to 3.6055.

Is 13 a Prime Number?

Yes, 13 is a prime number as it can only be divisible by number 1 and 13.

Is 13 a Perfect Square?

No, 13 is not a Perfect Square.

What is the Square Root of 13 in the Simplest Radical Form?

Square root of 13 in the simplest radical form is √13 as 13 is a prime number.