In this article, you will learn to find the root of 4. where **Square** and the **Square Root** of different numbers have been determined. Let us see some basics related to square root.

## Square Root of 4

Basically, a number when get multiplied by itself is called a square number.

**For example : **3 x 3 = 9 so 9 is a square number.

**You can see some more examples below :**

4² = 4 x 4 = 16

8² = 8 x 8 = 64

7² = 7 x 7 = 49

6² = 6 x 6 = 36

## What is a Perfect Square?

A simple way to know if a **Number** is a perfect square or not:

- If a number ends with 2, 3, 7, 8 at the unit place then it is not a perfect square
- If a number is a perfect square, then it ends with 1, 4, 5, 6, 9 in the unit place but vice versa is not possible. For example, 25 is a perfect square, whereas 35 is not

### What is the Square Root of 4?

In mathematics, squaring a number is not difficult as the calculation is easy. To find the square root of a number is complicated as we need to find the original number that was squared.

**Let us consider an example : **+5 and -5 are square roots of 25 because 5^{2} = (-5)^{2} = 25. A non-negative real number has a unique non-negative square root.

It is called principal square root denoted by √*a*. √ is called the radical symbol or radix and in this example,

the principal square root of 25 is 5 which is denoted by √25 = 5, because 5^{2} = 5 • 5 = 25 and 5 is non-negative. The number underneath the radical symbol is called the radicand. Here the radicand is 25.

Considering the above example, +2 and -2 are square roots of 4 because 2^{2} = (-2)^{2} = 4. A non-negative real number has a unique non-negative square root. It is called principal square root denoted by √*a*. √ is called the radical symbol or radix and in this example,

the principal square root of 4 is 2 which is denoted by √4 = 2 because 2^{2} = 2 • 2 = 4 and 2 are non-negative.

The number underneath the radical symbol is called the radicand. Here the radicand is 4. Here is a video for the shortcut method to find out the square root of a number.

### Square Root of 40

40 is the multiple of 4 and 10. As we already know, the root of 4 is equal to 2 but what about number 10. Since 10 is not a perfect square, thus we have to find the root of 10 using the long division method.

**Hence, we can write,**

Value of root 40 = √40 = √4 x √10 = 2 √10

Since, √10 = 3.162 [By long division method]

Hence, √40 = 2 x 3.162 = 6.324

### Square Root of 400

When number 4 is multiplied by 100 it results in 400, such as;

4 x 100 = 400

As you can see, both 4 and 100 are the perfect squares. Hence, it is easy to find the root value of 400. Therefore,

√400 = √4 x √100 = 2 x 10 = 20

Hence, 20 is the answer.

### Square Root From 1 to 50

Here is the list of the square root of numbers from 1 to 50. Student can use this table to do calculations.

Number | Square Root Value |

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 | 4.69 |

23 | 4.796 |

24 | 4.899 |

25 | 5 |

26 | 5.099 |

27 | 5.196 |

28 | 5.292 |

29 | 5.385 |

30 | 5.477 |

31 | 5.568 |

32 | 5.657 |

33 | 5.745 |

34 | 5.831 |

35 | 5.916 |

36 | 6 |

37 | 6.083 |

38 | 6.164 |

39 | 6.245 |

40 | 6.325 |

41 | 6.403 |

42 | 6.481 |

43 | 6.557 |

44 | 6.633 |

45 | 6.708 |

46 | 6.782 |

47 | 6.856 |

48 | 6.928 |

49 | 7 |

50 | 7.071 |

### FAQ

**Q.1 What is the square √ 4?**

**Ans. **2

**Q.2 What is √ 2 of value?**

**Ans. **The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414.

**Q.3 How to find root?**

**Ans.** This is a very simple method. We subtract the consecutive odd numbers from the number for which we are finding the square root, till we reach 0.

Read More : | ||

Roman Numbers 7 to 700 | Squares from 7 to 700 | Cube Table 7 to 40 |

Roman Numbers 7 to 7000 | Square Root 7 to 700 | Cube from 7 to 700 |

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