Answer to Question #193824 in Algebra for Robin

Question

If a and b are real Numbers such that abs(a) = abs(b) then what is always true:

1. a = b
2. a^2=b^2
3. a^3=b^3
4. none of the above

Answer 1

if a and b are real numbers,

and $|a| = |b|$

then $a² = b²$ is always true

the 2nd option.