The square root of a number is the value when multiplied by itself offers the initial number. Because that example, 13 × 13 = 169, so the square root of 169 is 13. In this mini-lesson, we will learn around the square root of 320. We will execute so using methods like element factorization and also long division method. The square root of 320 is a number which once multiplied through itself, outcomes in the number 320. 320 is an also number and a composite number. Allow us determine the square root of 320 in this article. We will certainly learn just how to calculate the square source of 320, is square root of 320 a rational or irrational, and look at a couple of problems to assist us recognize this topic.

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**Square root of 320**

**:**√320 = 17.888

**Square of 320**

**:**320

**² =**102,400

1. | What Is the Square root of 320? |

2. | Is Square source of 320 rational or Irrational? |

3. | How to find the Square source of 320? |

4. See more: What Is -6 A Rational Number ? Definition And Examples Is 6 A Rational Number | FAQs on Square source of 320 |

## What Is the Square root of 320?

The square source of a number n is written as √n. This number once squared or multiply by itself outcomes in the initial number n. The square source of 320 can be written as:

Radical form: √320 Decimal form: 17.888 Exponent form: (320)½## Is Square source of 320 Rational or Irrational?

320 cannot be damaged into 2 equal number (y) i beg your pardon on multiplying with each other (y × y) offer 320. It can be about written as a square of 17.888, i beg your pardon is a non-recurring and also non-terminating decimal number. This mirrors it isn"t a perfect square, which likewise proves the the square source of 320 is an irrational number.

Square root of 320 is simlified in decimal kind as √320 = 17.888## How to discover the Square root of 320?

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

Long department MethodPrime Factorization### Long division Method

The square source of 320 by long department method is composed of the adhering to steps:

Pair the number of the number native one"s digit by placing a bar over them as displayed in image.The very first pair just consists of 1 number, i.e., 3. Square that 1 gives a product less than 3. The number is subtracted native the first pair and subsequently, the next pair is added as the divisor, i.e., 20.The twin of 1 is 2. Now a number is to it is in placed in addition to 2, i.e., 7. The product that 27 by 7 gives 189. Once the difference between 220 and 189 is taken, the remainder is 31.Now twin of the quotient is taken. Currently a decimal is added to the quotient, thus letting us include a pair that zeros to the original dividend. A number together with 34 is added in the blank and also it is multiply by the exact same number in the quotient. Product that 348 with 8 gives 2784.The difference derived from the above step is 3100 - 2784 = 316.The procedure is repeated the exact same way.Therefore, **the square source of 320 = 17.88**

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**Challenging Questions**

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