Why do two square numbers multiplied together equal to another square number?

Answer 1

Oh, dude, it's like when you have two square numbers, they're all cozy and snug with their nice, even sides, right? So, when you multiply them together, it's like they're just combining their powers and expanding their squareness to create another square number. It's just math being all mathy and stuff, making sure everything adds up perfectly in its little math universe.

Answer 2

Well, isn't that just a happy little coincidence! When you multiply two square numbers together, you're essentially combining the area of two squares to create a new, larger square. This is why the result is always another square number – it's like creating a beautiful painting where all the pieces fit together perfectly!

Answer 3

Well, honey, when you multiply two square numbers together, you're basically squaring a number twice. So, if you have (a^2) * (b^2), it's the same as (a * b)^2. It's like math's way of saying "what goes around, comes around" but with numbers.

Answer 4

A square number can be arranged into a square when represented by little squares. For example, take the number nine. Use nine little squares, and you can make a big square that is three by three.

Now, if you divided each of the little squares into a square number, such as 16, each little square is now 16 by 16. When you multiply 16 by 9 You can put these groups of sixteen squares into a bigger square just like when you have one square number.