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Find Square Roots Easily ๐
83,444 views โข 11 months ago โขvia X (Twitter)
10 Comments

@ATesCoder

It's Newton-Raphson algorithm. Works on any natural or irrational number with chances of 1 -1.5% error. To get closer to actual value one can go for another iteration of the same algorithm.

Which pen you're using, Sir ? @simplifieddd

๐

Nice ๐

The calculation is still wrong. With this method you will get 4.385 as the answer whereas the actual square root of 19 is 4.358.

@grok why does it feel wrong?

The "Crazy Math Trick" for square roots, likely based on Newton's method, is a valid way to approximate square roots mentally. It feels "wrong" possibly due to unfamiliarity, as itโs not commonly taught, or because it gives approximations, not exact results. For example, for 18, it yields 4.25, close to 4.2426, but for 23, it gives 4.875 versus 4.7958, a 1.65% error. Itโs useful for quick estimates but less reliable for precision. If the videoโs explanation was unclear, that might add to your doubt. Try practicing with numbers near perfect squares to build confidence, or use a calculator for exactness.

What about cube root ?

grt
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