At some point in our lives, we have all had to deal with square roots. Remembering the concept, we know that a square root is an operation of a mathematical nature, in which we give ourselves the task of finding the number that, when multiplied by itself, gives us the original number, that is, the one that is within the root symbol.
In today’s article we will talk about solving square roots, especially how to do the square root of 8, by hand.
What do you need for how to do the square root of 8?
- Paper, eraser, sharpener and pencil
- Calculator
Instructions for how to do the square root of 8
Once we have obtained the necessary materials to calculate the square root of 8, we are ready to get down to work and perform the square root of 8.
- We must place the divisions on the paper, in the same way that we would do it with a division. On the left side or the one that would take the place of the dividend we place the number 8.
- On the right side we will place a number that multiplied by itself, gives us 8 or close to it, there is no exact number, however, we know that 2² = 4 while 3² = 9 so our number must be within these two limits.
- We then place the number 2 in that first space, we are left as follows √8 │2
- Then the result of the multiplication of this number by itself, that is, 4, we must subtract that number from the number 8, with which we have,
√8 │2
-4
4
- Then to have the decimal number, we must place a comma after the number 2, with which we will add two zeros, then following this
√8 │2,
-4
400
- In the column below the number two, it is called the multiplier column by 2, this is because any number that is above will have to be multiplied by 2. In this case it is 2×2=4, so we must leave two spaces in the which together with 4 form a two-digit number that will be multiplied by a third, in this we must test which are the digits we need in this case it will be
√8 │2,
-4 4_x_=
400
- We find that the numbers sought are 8 in both cases, with what we are left with
√8 │2,
-4 48×8=384
400
- We subtract this number or result from the 400 that we had previously √8 │2,
-4 48×8=384
400
-384
16
- It will be the number that we score, that is to say 8, the second number of our result, we must also add two zeros again to the result of the subtraction, as follows
√8 │2.8
-4 48×8=384
400
-384
1600
- Now, as we did before, and without taking into account the comma, we must multiply this number by the multiplying column of 2, that is, 28×2, which leaves us with the procedure as follows
√8 │2.8
-4 48×8=384
400 56_x_=
-384
1600
- We realize that with number two we would have 562×2=1124, while if we use number 3, we would be going too far, since we would have 563×3=1689. So our number to choose is number 2
√8 │2.82
-4 48×8=384
400 562×2=1124
-384
1600
-1124
476
- If you want to have an exact result, you must continue using this method, until the subtraction is equal to 0.
You have now learned how to take the square root of 8.