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square root of a^2 +b^2

2007-07-21 06:20:11 · 3 answers · asked by confused ~ 1 in Science & Mathematics Mathematics

3 answers

That expression does not simplify.

The simplest form it has is √ (a² + b² )

a^n + b^n cannot be simplified if n is even.

For odd powers, it can. For example:

a³ + b³ = (a+b)(a² - ab + b²)

See also:
http://en.wikipedia.org/wiki/Difference_of_squares
for the case a² - b²

and see: http://en.wikipedia.org/wiki/Cyclotomic_polynomial#Cyclotomic_polynomials
for some more complicated factorizations of a^n - 1, which can be generalized to a^n - b^n

2007-07-21 06:23:15 · answer #1 · answered by сhееsеr1 7 · 0 1

hey im just a 7 yea old kid and i can tell you that the square root of a^2 +b^2 is not yet thought in my class

2007-07-21 13:23:24 · answer #2 · answered by Anonymous · 0 1

a^2+b^2 cannot be simplified.
a^2-b^2=(a-b)(a+b),

2007-07-21 13:25:10 · answer #3 · answered by ironduke8159 7 · 0 1

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