 # Multiply two squaring numbers

In this type of questions
First you see them in their original number.
Example - 64 * 81
8 * 9 (64 is the square of 8 and 81 is the square of 9)
After that, 72 (square it)
= 5184

Example - 144 * 169 =
12^2 * 13^2 = (12*13)^2 =156^2 = 24336

Example - 256 * 441 =
16^2 * 21^2 = (16*21)^2= 336^2 = 112896

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This is true. Of course you need to know your squares.
Mathematically you say

a^2 * b^2 = (ab)^2

and this is perfectly true.

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@Kinma, the examples are actually a * b = (ab)^2 not a^{\color{red}2} * b^{\color{red}2} = (ab)^2 and I don’t have global edit permissions to fix it.

@bjoern.gumboldt
Kinma is right.
a^2*b^2 = (ab)^2

And (ab)^2 means (a*b)^2

I know that @Kinma is right… your examples are wrong.

@bjoern.gumboldt
My examples are also true
Where you find it is wrong.

You’re missing squares on the left hand side…

12^{\color{red}{2}}*13^{\color{red}{2}}=156^2=24336

16^{\color{red}{2}}∗21^{\color{red}{2}}=336^2=112896

I do not mentioned there because we don’t want to see that .
Only working step is 12 * 13 and then square the number.

Not sure who we is… but the royal we wants to see either the squares or no equal sign.

At the moment you are saying 156=156^2 and 336=336^2 and that is clearly wrong!

The etymology of the word “equal” is from the Latin word " æqualis" as meaning “uniform”, “identical”, or “equal”, from aequus (“level”, “even”, or “just”).

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perfection must be met in engineer, then there is mathmatic…

Oh wait it is the other way around XD

Of course, @bjoern.gumboldt is right here.

A full example would be:

144 * 169 = 12^2 * 13^2 = (12 * 13)^2 = 156^2 = 24336

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…or even using the therefore sign (∴) for all I care:

\sqrt{144}=12 \\ \sqrt{169} = 13

12^2 * 13^2 = (12 * 13)^2 = 156^2 = 24\,336

But definitely not with an equal sign where left-hand-side and right-hand-side are not equal… somebody needs to edit that post!

That will be me.

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Thank you!

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