**Table of Square Root 1 to 30 (वर्गमूल 1 से 30 तक)**

Square root 1 to 30 is the list of square roots of all the numbers from 1 to 30. Square root can have both negative and positive values. The positive values of square roots from 1 to 30 range from 1 to 5.477.

In square roots 1 to 30, the numbers 1, 4, 9, 16, and 25 are perfect squares and the remaining numbers are non-perfect squares i.e. their square root will be irrational. The square root 1 to 30 in radical form is expressed as √x and in the exponential form it is expressed as (x)½.

In radical form: √x

In exponential form: (x)½

Where x is any number between 1 to 30.

**Learning Square Roots 1 to 30 will help you quickly simplify time-consuming long equations. The values of square roots from 1 to 30 to 3 decimal places are listed in the table below.**

Square Root from 1 to 30 Rounded to 3 Decimal Places | |

√1 = 1 | √2 = 1.414 |

√3 = 1.732 | √4 = 2 |

√5 = 2.236 | √6 = 2.449 |

√7 = 2.646 | √8 = 2.828 |

√9 = 3 | √10 = 3.162 |

√11 = 3.317 | √12 = 3.464 |

√13 = 3.606 | √14 = 3.742 |

√15 = 3.873 | √16 = 4 |

√17 = 4.123 | √18 = 4.243 |

√19 = 4.359 | √20 = 4.472 |

√21 = 4.583 | √22 = 4.690 |

√23 = 4.796 | √24 = 4.899 |

√25 = 5 | √26 = 5.099 |

√27 = 5.196 | √28 = 5.292 |

√29 = 5.385 | √30 = 5.477 |

**Square Root 1 to 30 for Perfect Squares**

√1 = 1 | √4 = 2 |

√9 = 3 | √16 = 4 |

√25 = 5 |

**Read Also- Square 1 to 30, Chart and Tricks, 1 to 30 Square Values PDF**

**Square Root 1 to 30 for Non-Perfect Squares**

√2 = 1.414 | √3 = 1.732 |

√5 = 2.236 | √6 = 2.449 |

√7 = 2.646 | √8 = 2.828 |

√10 = 3.162 | √11 = 3.317 |

√12 = 3.464 | √13 = 3.606 |

√14 = 3.742 | √15 = 3.873 |

√17 = 4.123 | √18 = 4.243 |

√19 = 4.359 | √20 = 4.472 |

√21 = 4.583 | √22 = 4.690 |

√23 = 4.796 | √24 = 4.899 |

√26 = 5.099 | √27 = 5.196 |

√28 = 5.292 | √29 = 5.385 |

√30 = 5.477 |

**How to find Square Root from 1 to 30?**

**Method 1: Prime Factorization**

**Example- **Value of √16

Prime factorization of 16 is 4 × 4

Pairing prime factors: 4

Therefore, the value of √16 = 4

**Method 2: Long Division Method to solve Square Root of 20**

**Square Root 1 to 30 Solved Examples**

**Example 1: Simplify the expression: 2√16 + 6.**

**Answer-**

Given expression: 2√16 + 6.

We know that √16 = 4.

Substituting the value in the given expression, we get

2√16 + 6 = 2(4) + 6

2√16 + 6 = 8 + 8

2√16 + 6 = 16

Hence, the simplified form of the expression 2√16 + 6 is 16.

**Example 2: Simplify the expression: (2√14 × √14) + 10.**

**Answer-**

Given expression: (2√14 × √14) + 10

(2√14 × √14) + 10 = [2(√14)2] + 10

(2√14 × √14) + 10 = [2(14)] + 10

(2√14 × √14) + 10 = 28 + 10

(2√14 × √14) + 10 = 38

Hence, the simplified form of the expression (2√14 × √14) + 10 is 38.

**Example 3: Find the value of a, if 4√3 + a = 20.**

**Answer-**

Given equation: 4√3 + a = 20 …(1)

We know that √3 = 1.732

Now, substitute the value in equation (1), we get

⇒ 4(1.732) + a = 20

⇒ 6.928 + a = 20

⇒ a = 20 – 6.928

⇒ a = 13.072

Hence, the value of a is 13.072.

**List of Square Root 1 to 30 Values and PDF**

**Click Here to Download 1 to 30 Square Roots in PDF form**

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