Square Root Of 5: How To Do The Square Root Of 5

What is a square root? How to do the square root of 5? If you are asking yourself any of these questions, this article is necessary for you. Keep reading and you will know what is the ideal technique to learn how to do the square root of 5.

What is a square root?

The square root is a mathematical operation, in which the initial number to which the same is operated, is a number that when multiplied by it gives this initial number. There are numbers known as quadratic numbers, in which this operator is immediate.

What is a quadratic number?

It is known as a quadratic number, a number to which to apply the mathematical operator, of the square root, this same result, an exact result, that is, a number that is part of the natural numbers. Remember that the natural numbers include both integers and positive numbers.

What do you need to do the square root of 5?

• Pencil
• Notebook

Instructions to do the square root of 5

We must know what we will need to learn how to do the square root of 5:

1. Paper, eraser, sharpener and pencil
2. Calculator

Once we have obtained the necessary materials to calculate the square root of 5, we are ready to perform the square root of 5.

1. In the first place, as we said, it is knowing that if the number 5 is part of what is known, as a quadratic number. We come to the conclusion that no, since we do not know any integer, that when multiplied by itself, gives us exactly the number 5.
2. We must find which are the quadratic numbers, among which is our base number, which in this case, is 5.
3. The numbers that are between 5, are the number 2, which when multiplied by itself gives us 4, and on the other hand is the 3, which when raised to the square (multiply by itself) gives us 9.
4. We see that then 5 is between 4 and 9. Therefore, the result of our square root will be between the numbers 2 and 3. It is time to start finding the first decimal places.
5. We have to do a division, as the first option we take the number 2, which is the lower limit, and from its square we subtract the original number, that is, we would have the following 5 – 2² = 5 – 4 = 1.

√5 │2

2 x 2 = 4

We keep dividing. Now we must place the comma, which will give us the second number, which will be multiplying the previous number by 1, with which we then have

√5 │2,2

– 4 2 x 2 = 4

10 2 x 2 = 4

– 4 3 x 2 = 6

6

2. We must continue with the division, following the previous steps, until we achieve an approximation, more or less exact or valid. We can verify, with our calculator, and know that we are in the right direction.
3. The result that gives us the square root of 5 on the calculator is the following: 2.236067977
4. Don’t worry, if it doesn’t give you the exact number, getting a good approximation is the work of computers.

You have already seen that this is not a very difficult job. It is not necessary, as we have shown, to calculate the square root of 5, using a calculator.

The square root of 5 is not the only case, we can calculate other inexact roots following this method. Don’t forget to share with your friends.