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If you want a mathematical way to solve square roots that isn't trial and error, you

probably need an algorithim. There are many ways to do this, and if you aren't satisfied with my way, or don't understand search for square root algorithims and you will find millions of ways.

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Q: How do you solve a square root without trial and error?
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Trial and Error in science, or else you can use a (chemical) equation to solve and check.


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Trial and error examples?

An example of trial and error is a child trying to solve a puzzle by attempting different ways to fit the pieces together until finding the correct combination. Another example is a scientist trying different experimental setups to determine the most effective approach to achieving a desired outcome. Trial and error involves testing various possibilities until a successful result is achieved.


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