When is x+y=the square root of x squared is y squared true and when is it false? Please solve this using basic algebra. Thank you.
it's always true
\(x+y = \sqrt{{(x+y)}^{2}}\)
you square X+Y then immediately square root it.
the square root cancels out the original square.
When is x+y=the square root of x squared is y squared true and when is it false? Please solve this using basic algebra. Thank you.
\(x+y=\sqrt{x^2}\\ x+y=|x|\\ If\; x\;\ge0\; then\; y=0\\~\\ If\; x\; <0 \;then\\ x+y=-x\\ y=-2x\\\)
So no y is not often a squared number although it can be sometimes.