How to stop graph from appearing in extra quadrants

Question

I was simplifying the equation, $\sqrt{(x^2 + x)}xy = 5$, to, $\sqrt{(x^4 y^2 + x^3 y^2)} = 5$, using $\sqrt{(x)} x = \sqrt{(x^3)}$ but the graph appeared in all quadrants not just two and four. Can anyone explain why this happens and how to fix it?

Answer 1

It is $$ab\sqrt{a^2+b^2}\ne \sqrt{a^2b^2(a^2+b^2)}$$ since we have $$\sqrt{x^2}=|x|$$