289 is a perfect square number i beg your pardon is derived by square the 17. Hence, the square source of 289 is a rational number. In this mini-lesson we will learn to discover square source of 289 along with resolved examples. Let us see what the square root of 289 is.

You are watching: What is the square root of 289

**Square root of 289**:

**√**289 = 17

**Square that 289: 2892**= 83,521

1. | What Is the Square source of 289? |

2. | Is Square source of 289 rational or Irrational? |

3. | How to uncover the Square root of 289? |

4. | FAQs top top Square source of 289 |

The initial number who square is 289 gives the square root of 289.

**√**289 = 17

The answer which we obtain on squaring 17 is 289. This renders 289 a perfect square.

A reasonable number can be either terminating or non-terminating and also has a repeating pattern in its decimal part. We witnessed that **√**289 = 17. 17 is a entirety number. It is possible to express it in p/q form easily. Hence, **√**289 is a rational number.

There room different methods to uncover the square source of any kind of number. Click here to know more about it.**The factors of 289 are, 1, 17 and also 289.As 289 has more than 2 factors, it is a composite number**

**To discover the square root of 289:**

**We have the right to use prime factorization method to obtain one number from each pair the the exact same numbers and multiply them. The administer of 289 is 17 × 17 which is composed of 1 pair of the very same number, 17. Thus, the square source of 289 is √**(17 × 17) = 17 itself.Since 289 is a perfect square, we can additionally express it as 172. The number in ~ square source which gets recurring is 17. Hence, the square source of 289 is 17.

The square source of 289 is 17.

**Explore Square roots making use of illustrations and interactive examples**

**Important Notes:**

**Think Tank:**

**√**-289 a real number?

**Example 1**: What is the difference in lengths of square boxes having area 289 square inches and 169 square inches ?

**Solution**

As the area of square crate is area = size × length**The length of square box having area 289 square inches is √**289 = 17 inches. **Similarly the size of box having area 169 square customs is √**169 = 13 inches.**The distinction in lengths of crate is (17 - 13) inches = 4 inchesHence, the difference in length of square boxes having actually area 289 square inches and 169 square customs is 4 inches.**

**Example 2**: have the right to you determine the radius of circle having area 289π square inches?

**Solution**

**Radius deserve to be found using the formula that area of a circle is πr2 square inches. By the provided information,πr2 = 289π r2 = 289By taking the square root on both sides we get, √**r2= **√**289. We recognize that the square root of r2 is r.

See more: 2000 Chevy Malibu Transmission Fluid Type, Advance Auto Parts**By calculating the square source of 289 is 17 inches.**