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# What is the relationship between squaring numbers and square roots?

Updated: 9/16/2023

Wiki User

13y ago

Squared numbers are numbers like 1,4,9,16,25,36,49,64,81,100 and so on.

When you see a number like this: 32

3 Squared=32=3 × 3=9

So basically the small (2) means to times that number by it self twice. So

3 X 3 X 3 = 9

EG:1 Squared=12=1 × 1=1

6 Squared=62=6 × 6=36

So now the square roots are written like this:

with a number next to it for example:

Which mean the square root of 9 = 3. It means the square of 3 = 9 so the square root of 9 = 3. They are inverse operations.

Here is a little trick/challenge I want to challenge you see if you can work it out. I will write the answer and how to work it out, but see if you can do it yourself.

1) Find two square numbers.

2) Times them both together.

3) Find the square root of the answer you got on 2.

4) What is the connection between the two square numbers (on number 1) and the square root on (number 3)?

ANSWER: 1) EG. 4 and 9

2) 4 times 9 = 36

3) square root of 36 = 6

4) 4 9

6

First do 6/4 = 1.5

Then do 9/1.5 = 6

So basically, bottom number (6) divided by top left number (4) = 1.5

Then top right number (9) divide answer above (1.5) = bottom number (6)

Wiki User

13y ago

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Related questions

### Why are square numbers called square numbers?

Square numbers are the result of squaring an integer. Squaring means multiplying a number by itself, and this, in turn, is called thus because of the way the area of a square is calculated.

### What are the techniques of squaring numbers?

To square a number, you simply multiply it by itself.

### How many prime numbers are square?

None because square numbers have more than two factors

### How is squaring a number and finding a square root different?

Squaring a number is multiplying it by itself. Finding a square root is dividing, trying to find the two numbers that will multiply to make your original number.

### How do you solve for a square root?

For example, you try out squaring different numbers, until you get close enough.

### Why are square numbers called that?

A Square number is what we get as the result of squaring an integer. Squaring means multiplying a number by itself. So It is called thus because of the way the area of a perfect square is calculated. Example: 16 is a square number. 16 = 4 x 4

### Is 40a square number?

No. Square numbers are from numbers being squared like 2 squared is 4. Squaring a number is multiplying it by itself so 3x3=9, 4x4=16, 5x5=25, and so on. The closest square numbers to 40 are 36 (6x6) and 49 (7x7) there are no whole numbers to square in between 6 and 7 so 40 cannot be a square number

### What is the opposite operation of squaring?

Taking the square root is the opposite of squaring.

### What number can you square to equal 121?

You can try squaring different numbers; if the answer is too high, try squaring a smaller number; if the answer is too low, try squaring a larger number.You can also calculate the square root of 121 on just about any calculator. In this case, the answer is 11, or -11.

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### How do you get rid a square root?

you do it by squaring it

### The square root operation is the what of squaring?

Squaring a number is the inverse of square rooting. The square root of 144 is 12, so 12 squared is 144.