The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2, because 2 x 2 = 4. In mathematics, the symbol for the square root is √, so we can write the square root of 4 as √4 = 2.
What is the square root of 4?
The square root 4 has a value that is precisely equal to 2. However, we may state that there are always two roots for each given number and that the roots may be positive or negative. Root 4 is therefore equal to -2 or +2 and -2 (positive 2 and negative 2).
How do you find 4 roots?
First, we will factorize 4.
4 = 2 x 2
Taking square root on both sides, we get
√4 = √2 x 2
= 2 [as √a x a = a]
Therefore, √4 = 2
The square root of 4 is 2.
How to find square root of 4 in division method
The division method is a mathematical technique that can be used to find the square root of a number. Here are the steps to find the square root of 4 using the division method:
- Divide the number 4 by a number that is close to its square root. For example, you can divide 4 by 2, because 2 is close to the square root of 4.
4 ÷ 2 = 2
- Average the result of the division with the divisor. In this case, the result is 2, and the divisor is 2, so the average is (2 + 2) ÷ 2 = 2.
- Repeat the process by dividing 4 by the average that you just obtained.
4 ÷ 2 = 2
- Average the result of the division with the divisor. In this case, the result is 2, and the divisor is 2, so the average is (2 + 2) ÷ 2 = 2.
Repeat the process until you reach a desired level of accuracy. In this case, you can stop after the second iteration, because the result is already accurate enough.
The final result of the division method is the square root of 4, which is 2.
Square Root From 1 to 50 Table
| 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 |
What is the square root of 4?
The square root of 4 is a value that, when multiplied by itself, gives 4. In mathematics, the symbol for the square root is √, so we can write the square root of 4 as √4. The value of the square root of 4 is 2, because 2 x 2 = 4.
How do I find the square root of 4?
To find the square root of 4, you can use the following steps:
Write the number 4 under a radical symbol, like this: √4
Calculate the value of the radical by finding the number that, when multiplied by itself, gives 4. In this case, the number is 2, because 2 x 2 = 4.
Write the result, which is 2, next to the radical symbol: √4 = 2
What is the square root of 4 used for?
The square root of 4 is used in various mathematical calculations and applications. It can be used to solve equations, find the length of a side of a square, and calculate the area of a square, among other things. It is also commonly used in geometry, algebra, and other branches of mathematics.
Is the square root of 4 a rational or irrational number?
The square root of 4 is a rational number, because it can be expressed as a ratio of two integers. In this case, the square root of 4 is equal to 2, which is the ratio of 2 and 1. Rational numbers can be written as a fraction or as a decimal, and they have a finite or repeating decimal representation.
Is the square root of 4 a prime number?
No, the square root of 4 is not a prime number. Prime numbers are integers that are divisible only by 1 and themselves, and they are considered to be the building blocks of the integer numbers. The square root of 4 is equal to 2, which is a composite number, because it has factors other than 1 and itself (it is divisible by 1, 2, and itself).
