Eli5:How does a square root of something work?Like square root of two, square root of 3 etc.

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I know it like “this multiplyed by itself has to equal 2” but does that mean when simplyfied or what?

In: Mathematics

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Anonymous 0 Comments

Okay so, imagine you have a tray one inch deep, and it’s one inch wide and one inch long. And you want to fill it all the way up with water.

Now, you ask yourself “how much bigger does this tray need to be, so that it’s still one inch deep, and still square, and holds exactly twice as much water?”

The answer is the “square root of two”.

You can also ask “how much bigger does that first tray need to be, to hold FIVE times as much water at one inch deep?” And the answer is the “square root of five”

Its called the “square root” because it’s the root (side) of a square.

If instead of saying “a square, one inch deep”, you said “how big of a CUBE” would you need to hold twice as much water, the answer would be the CUBE root of two.

See how that works?

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