# what is the square root of 320

Video The square root of 320 The square root of 320 The square root of a number is the value that when multiplied by itself gives the original number. For example, 13 × 13 = 169, so the square root of 169 is 13. In this mini-lesson, we will learn about the square root of 320. We will do so using methods such as factoring. prime numbers and the long division method. The square root of 320 is a number that, when multiplied by itself, results in 320. 320 is an even number and a composite number. Let us determine the square root of 320 in this article. We will learn how to calculate the square root of 320, whether the square root of 320 is rational or irrational, and look at a few problems to help us understand the topic.

**Square root of 320****:**320 = 17,888**Square 320****:**320**=**102,400

1. What is the square root of 320? 2. Is the square root of 320 Reasonable or Unreasonable? 3. How to Find the Square Root of 320? 4. Frequently asked questions about Square Root of 320 The square root of a number n is written as √n. This number when squared or multiplied by itself will give the original number n. The square root of 320 can be written as: Read: what is the square root of 320

- Radial form: 320
- Decimal: 17.888
- Exponential form: (320)

Read more: 60 cm in inches320 cannot be divided into two equal numbers (y) but when multiplied together (y × y) gives 320. It can be written as a square of 17.888, which is a number. do not repeat and do not -use decimals. This shows that it is not a perfect square, which also proves that the square root of 320 is an irrational number.

- 320 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 320 simulated in decimal is √320 = 17.888
- The square root of 320 cannot be represented as a fraction in the form p/q, which tells us that the square root of 320 is an irrational number.

There are 2 ways to find the square root of 320:

- Long division method
- Element

### Long division method

The square root of 320 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. 20.
- The double of 1 is 2. Now a number will be placed with 2, i.e. 7. The product of 27 times 7 gives 189. When the difference is taken between 220 and 189, the remainder is 31.
- 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 34 is added to the blank and it is multiplied by the same number in the quotient. The product of 348 and 8 gives 2784.
- The difference obtained from the above step is 3100 – 2784 = 316.
- This process is repeated in the same way.

Read more: Equivalent to 1 4So, **square root of 320 = 17.88****Explore square roots using interactive illustrations and examples**Read more: Wabbit season has come | Top Q&A

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- What is the negative root of 3200?
- Find the square root of 320 with up to 5 decimal places?
- Square root of: a) 32030 b) 3205320

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