# what is the square root of 13

Square Root of 13 The symbol of the square root is written as (√) and is an integral part of mathematics. Once you understand the basics of how to find the square root of a number, you can solve any problem involving square roots. Today, let’s find the square root of 13 and discover the answers to questions like the square root of 13 is a rational number and the square root of 13 is in its root form.

**Square root of 13**: 13 = 3.60555128**Square 13:132**= 169

1. What is the square root of 13? 2. Is the square root of 13 Reasonable or Unreasonable? 3. How to find the square root of 13? 4. FAQ about Square Root of 13

## What is the square root of 13?

The square root of 13 is represented as √13 in root form and 13½ in exponentiation. The square root of 13 rounded to 5 decimal places is ± 3.60555 Read: What is the square root of 13A that cannot represent the ratio of two integers as an irrational number. The decimal form of an irrational number is non-terminating (i.e. it never ends) and non-repeating (i.e., the decimal part of the number never repeats a pattern). Now let’s look at the square root of 13.Read more: what is the name of kodak black snapchat | Is the top Q&A the square root of 13 rational or irrational? Do you think the decimal part stops after 3.60555128? No, it’s never ending and you can’t see a pattern in the decimal.

- The square root of √13 is an irrational number.

Square roots can be calculated using a variety of methods:

- By simplifying the roots of the numbers are perfect squares.
- By dividing length by perfect and imperfect squares

13 is a prime number and therefore it is not a perfect square. Therefore, the square root of 13 can only be calculated using the long division method.

### Simple square root form of the square root of 13

Read more: Unreal Swarm | Top Q&A To simplify the square root of 13, let’s first express 13 as a product of its prime factors.

- Prime factor of 13 = 1 × 13.
- √13 is in its lowest form and cannot be further simplified.
- We have represented the square root of 13 in root form.

### Square Root of 13 by Long Division

Let’s follow the steps to find the square root of 13 using long division.

- Step 1: Group the digits into right-to-left pairs by placing a bar over it.
- Step 2: Find the largest number such that when multiplied by itself, the product is less than or equal to 13. We know that 3 × 3 is 9 and less than 13. Now let’s divide 13 ÷ 3.
- Step 3: Let’s put a decimal point and pairs of zeros afterwards to continue our division.
- Now, multiply the quotient by 2 and the product becomes the starting digit of our next divisor.
- Step 4: Pick a number in the new division that allows its product to be divided by a number less than or equal to 400. We know that 6 is in the tens and our product should be 400 and the nearest multiplication is 66 × 6 = 396
- Step 5: Reduce the next pair of zeros and multiply the quotient 36 (ignoring the decimals) by 2, which gives 72 and is the starting digit of the new divisor.
- Step 6: Choose the largest digit in the units row for the new divisor so that the product of the new divisor with the units digit is less than or equal to 400. We see that 721 when multiplied by 1 gives 721 which is greater than 400 Therefore, we will make 720 × 0 = 0 less than 400.
- Step 7: Add more pairs of zeros and repeat the process of finding new divisors and products as done in step 2.
- Step 8: Choose the largest digit in the units row for the new divisor so that the product of the new divisor with the units digit is less than or equal to 40000. We see that 7205 when multiplied by 5 gives 36025 which is less than 40000 .

- Therefore, the square root of 13 obtained by long division is
**3.60555128.**

Can you try and represent the square root of 17 in a similar way? The answer to √17 should be 4.123 Read more: What are solid surface materials made of? | Top Q&A

- Square root of 18
- Square root of 14
- Square root of 15
- Square root of 16
- Square root of 8

- Can you think of a quadratic equation whose root is √13?
- Since (-√13) 2 = 13, can we say that -√13 is also a square root of 13?

- The square root of 13 is in root form, expressed as √13.
- The square root of 13 is expressed as 13½ as an exponent.
- The real root of 13 is ±3.605

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