- #1
mrafiee
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Homework Statement
If X^2=Sqrt(x1^2+x2^2+x3^2+...)=> X?
and vice versa
If X=x1+x2+x3+...=> X^2?
Approximate solution for square root of sum of squares
- Thread starter mrafiee
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SUMMARY
The discussion focuses on deriving an approximate solution for the square root of the sum of squares, specifically the equation X^2 = Sqrt(x1^2 + x2^2 + x3^2 + ...). Participants suggest factoring out the largest term, denoted as x2, to simplify the expression to x2(1 + something). This approach provides a pathway to understanding the relationship between the sum of individual squares and their collective square root.
PREREQUISITES- Understanding of algebraic manipulation and factoring techniques.
- Familiarity with square roots and their properties.
- Basic knowledge of mathematical notation and equations.
- Experience with problem-solving in mathematics, particularly in calculus or algebra.
- Research advanced factoring techniques in algebra.
- Explore the properties of square roots and their applications in mathematical proofs.
- Study the implications of approximations in mathematical equations.
- Learn about the geometric interpretation of sums of squares in vector spaces.
Students, educators, and mathematicians interested in algebraic approximations and problem-solving techniques related to sums of squares and their applications in various mathematical contexts.
If X^2=Sqrt(x1^2+x2^2+x3^2+...)=> X?
and vice versa
If X=x1+x2+x3+...=> X^2?
- #2
tiny-tim
Science Advisor
Homework Helper
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welcome to pf!
hi mrafiee! welcome to pf!
(try using the X2 and X2 buttons just above the Reply box
)
hint: factor out the largest one (say, x2), and then it's x2(1 + something)
hi mrafiee! welcome to pf!
(try using the X2 and X2 buttons just above the Reply box
)hint: factor out the largest one (say, x2), and then it's x2(1 + something)
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