# what is the square root of 369

Square Root of 369 The square root of a number is the value that when multiplied by itself gives the original number. For example, 19 × 19 = 361. So the square root of 361 is 19. In this mini-lesson we will learn about the square root of 369. We will use methods like long division. . The square root of 369 is a number that, when multiplied by itself, yields 369. 369 is an odd number and a composite number. Let us determine the square root of 369 in this article. We will learn how to calculate the square root of 369, find out if the square root of 369 is rational or irrational, and look at a few problems to help us understand the topic.

**Square root of 369:**369 = 19.2**Square 369:**369**=**136161

1. What is the square root of 369? 2. Is the square root of 369 Reasonable or Unreasonable? 3. How to find the square root of 369? 4. Important Notes 5. Frequently Asked Questions about Square Root of 369 If a number is a perfect square, we can easily evaluate the square root by using the inverse of the operation. squaring. 369 is not a perfect square. √369 can be estimated using the long division method. The square root of a number n is written in the form √n. This number when squared or multiplied by itself will give the original number n. The square root of 369 can be written as: Read: what is the square root of 369

- Radical form: 369
- Decimal: 19.2
- Exponential form: (369)

The square root of 369 is a non-repeating and non-terminating number. So it cannot be expressed as p/q where q ≠ 0. Therefore, the square root of 369 is an irrational number. 369 cannot be divided into two equal factors that, when multiplied by 369. It can be approximated as the square of 19.2, which is a non-repeating and non-terminating decimal. This shows that it is not a perfect square, which also proves that the square root of 369 is an irrational number. Read more: what nd means in quotes There are 2 ways to find the square root of 369:

- Long division method
- Element

### Long division method

The square root of 369 by the long division method involves the following steps:

- Match the digits of the number with the digits of a person by placing a stick on them as shown in the image.
- The first pair consists of only 1 number, i.e. 3. The square of 1 gives the product less than 3. The number is subtracted from the first pair and then the next pair is added as the divisor, i.e., 69.
- The double of 1 is 2. Now a number will be placed with 2, i.e. 9. The product of 29 times 9 gives 261. When the difference between 269 and 261 is taken, the remainder is 8.
- Now the double of the quotient is obtained. Now a decimal is added to the quotient thus allowing us to add a pair of zeros to the original dividend. A number along with 38 is added to the blank and it is multiplied by the same number in the quotient. The product of 382 and 2 gives 764.
- The difference obtained from the above step is 800 – 764 = 36.
- This process is repeated in the same way.

Read more: What does Veibae look like in real life **square root of 369 = 19.2****The square root of 369 is a prime factor:**Prime factor of 369 = 3 × 3 × 41 The reduced form of √369 is = 3√41 The square root of 41 is 6.4031. 369 = 3 × 6.4031 = 19.2 Therefore, the square root of 369 = 19,209

- 369 is a number that is not a perfect square, which means it does not have a natural number as its square root.
- The square root of 369 simulated in decimal is, 369 = 19.2
- The square root of 369 cannot be expressed as a fraction if the form p/q tells us that the square root of 369 is an irrational number.

**Explore square roots using interactive illustrations and examples**Read more: What animal has one eye but can’t see

- Square root of 361
- Square root of 324
- Square root of 289
- Square root of 300
- Square root of 250
- Square root of 288
- Square root of 69

- What is the negative root of 3690?
- Find the square root of 369 with up to 5 decimal places?
- Square root of: a) 36996 b) 369469

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