Square root of 6

Imagine you have 6 apples, and you want to share them equally between your friends. You need to know how many apples each of your friends will get. To find out, you need to do something called square root.

Square root is a way to find a number that, when multiplied by itself, gives you the original number. In this case, we want to find the square root of 6.

So, imagine you have a bunch of square tiles. You arrange them in a square shape, like a box with four sides. If you have 4 tiles, you can make a perfect square with 2 tiles on each side. But what about 6 tiles? You can't make a perfect square with 6 tiles, because there will be one tile left over.

This means that the square root of 6 is larger than 2 (since 2 squared is 4). But how much larger?

You might remember that multiplication and division are opposite operations. If you want to undo multiplication, you can use division. So, instead of trying to find a number that, when multiplied by itself, gives you 6, you can find a number that is close to the square root of 6, and then multiply it by itself to see how close you get to 6.

Let's try using the number 2.5 as our guess. If we square 2.5, we get 6.25, which is pretty close to 6. But we need an exact answer, not just an estimate.

To get a more precise answer, we can use a fancy math trick called long division. We start by dividing 6 by our guess, which is 2.5.

. .
/ 6 / 2.5
______________
.

The first step is to ask ourselves, how many times does 2.5 go into 6? It goes in two times, but there is a remainder. So we write a decimal point, and then bring down a zero to make the number 60.

. 2
/ 6 / 2.5
______________
.
0

Now we ask ourselves, how many times does 2.5 go into 60? It goes in 24 times. We write 24 above the 0, and then multiply 2.5 by 24 to get 60.

. 2
/ 6 / 2.5
______________
. 24
0

Now we subtract 60 from 60 to get 0, and bring down the next digit, which is also 0.

. 2
/ 6 / 2.5
______________
. 24
0 0

Now we ask ourselves, how many times does 2.5 go into 0? Since 0 divided by anything is still 0, we don't need to do any more steps.

Our answer is 2.4, which means that the square root of 6 is somewhere between 2.4 and 2.5. To get an even more precise answer, we can repeat the long division process with 2.4 as our new guess, and keep doing this until we get a number that is close enough to 6.

In summary, the square root of 6 is a number that, when multiplied by itself, gives you 6. It is between 2.4 and 2.5, and you can find a more precise answer by using a fancy math trick called long division.