# How do you find the square root of 17 using long division?

Table of Contents

## How do you find the square root of 17 using long division?

- Step 1 : Write 17 as shown in the figure.
- Step 2: Find the largest number, which, when multiplied with itself, will give 17 or a smaller number closest to 17.
- Step 3 : Divide 17 by 4.
- Step 4: We get the remainder as 1 in this step.
- Step 5: The remainder of this step is 19.
- Step 6: We will repeat the process of Step 4.

**How do you find the square root of Root 17?**

Starts here1:36What is the Square Root of 17 – YouTubeYouTubeStart of suggested clipEnd of suggested clip50 second suggested clipSo you could estimate it to be about 4.1.MoreSo you could estimate it to be about 4.1.

**What is the square of 17?**

List of Perfect Squares

NUMBER | SQUARE | SQUARE ROOT |
---|---|---|

16 | 256 | 4.000 |

17 | 289 | 4.123 |

18 | 324 | 4.243 |

19 | 361 | 4.359 |

### How do you simplify square root of 17?

Since 17 is prime, it has no square factors, so √17 cannot be simplified. It is an irrational number a little larger than 4 .

**What is the perfect square of 17?**

Example 1

Integer | Perfect square |
---|---|

15 x 15 | 225 |

16 x 16 | 256 |

17 x 17 | 289 |

18 x 18 | 324 |

**How do you find the square root without long division?**

Starts here7:14Trick 98 – Find Square Roots Without Long Division Method – YouTubeYouTube

#### Is square root of 17 an integer?

√(17) is irrational, because it’s not a “nice” number.

**How to find the square root of a number using long division?**

The method to find the square root of any number is easy, if the given number is a perfect square. We can determine the square root of perfect squares by prime factorisation method. But if the number is not a perfect square, then it is difficult to find the square root of it. Hence, we then use long division method.

**How to find the square root of 625 using long division?**

Find the square root of 625. Answer: By prime factorisation, we know: Another method to find the square root of any numbers is long division method. Let us see some examples here: The long division method for √7921 can be found as given below: Since, 7921 is a perfect square, therefore, we can also find using factorisation method.

## How do you find the square root of 484 using long division?

Square root of a number by long division method Taking 484 as the number whose square root is to be found. Place a bar over the pair of numbers starting from the unit’s digit. Take the largest number as the divisor whose square is less than or equal to the number on the extreme left. The number on the extreme left is the dividend.

**How to find the square root of a number?**

How to Find Square Root. The method to find the square root of any number is easy, if the given number is a perfect square. We can determine the square root of perfect squares by prime factorisation method. But if the number is not a perfect square, then it is difficult to find the square root of it. Hence, we then use long division method.