Approximate solution for square root of sum of squares

In summary, an approximate solution for the square root of sum of squares is a value that is close to the actual square root of the sum of squares. It is not an exact solution, but it can be used as an estimate or approximation. This type of solution can be useful in situations where an exact solution is not necessary or feasible, and it is typically calculated using a simplified formula or approximation method. While it is not as accurate as an exact solution, it can still be fairly accurate depending on the method used and the level of precision needed. It can also be improved by using a more precise method or increasing the number of calculations and iterations, but it will never be as accurate as an exact solution.
  • #1
mrafiee
1
0

Homework Statement



If X^2=Sqrt(x1^2+x2^2+x3^2+...)=> X?

and vice versa
If X=x1+x2+x3+...=> X^2?


Homework Equations





The Attempt at a Solution

 
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  • #2
welcome to pf!

hi mrafiee! welcome to pf! :smile:

(try using the X2 and X2 buttons just above the Reply box :wink:)

hint: factor out the largest one (say, x2), and then it's x2(1 + something) :smile:
 

FAQ: Approximate solution for square root of sum of squares

1. What is an approximate solution for the square root of sum of squares?

An approximate solution for the square root of sum of squares is a value that is close to the actual square root of the sum of squares. It is not an exact solution, but it can be used as an estimate or approximation.

2. Why would someone need an approximate solution for the square root of sum of squares?

An approximate solution for the square root of sum of squares can be useful in situations where an exact solution is not necessary or feasible. It can also be used to quickly estimate the square root of a sum of squares without having to perform complex calculations.

3. How is an approximate solution for the square root of sum of squares calculated?

An approximate solution for the square root of sum of squares is typically calculated using a simplified formula or approximation method, such as the Pythagorean theorem or the binomial approximation method.

4. Is an approximate solution for the square root of sum of squares accurate?

An approximate solution for the square root of sum of squares is not as accurate as an exact solution, but it can still be fairly accurate depending on the method used and the level of precision needed. It is important to keep in mind that it is an estimation and not an exact value.

5. Can an approximate solution for the square root of sum of squares be improved?

Yes, an approximate solution for the square root of sum of squares can be improved by using a more precise method or by increasing the number of calculations and iterations. However, it will never be as accurate as an exact solution.

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