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# Square root?

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How do you find the square root of an object? Please Answer!

MysticalJaycat  Feb 23, 2017
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After 'mathing' for a while you will remember a lot of perfect squares    4   9   16  25    36    etc

the square root of those are   2 3  4  5 6

For larger numbers that are not perfect squares you will have to use a calculator ...

sqrt 149 =

sqrt(149) = 12.206555615733703

ElectricPavlov  Feb 23, 2017
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If you mean HOW to calculate it by hand, there is a procedure called "Newton's method" that you can use, and it converges quadratically, i.e., the number of accurate digits is doubled after each iteration. This is the formula: 1/2{n/a + a}, where n=the number that your trying to find the square root of, a =your first "guess". The result of the 1st iteration is plugged into the formula to get the 2nd approximation and so on. About 4-5 iterations will give you very accurate square root, perhaps to 15 - 20 decimal places of accuracy. Try it!!. Warning: It can get laborious and tedious!!.

Guest Feb 23, 2017

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