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TLDR:

The solution is an irrational number number known as the square root of 37. This number is approximately equal to 6.0827625303.

A method of arriving at the approximation:

One way to arrive at this approximation is using Newton's method with the function x^2-37. To get a good first guess, consider that 37 is very close to a square number (36), whose square root is 6. So, you can use a first guess of 6 for Newton's method.

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Sasha Furman

Lvl 2
2y ago

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