What is the relationship between squaring numbers and square roots?

Answer 1

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)