Question Number 130853 by Koyoooo last updated on 29/Jan/21
Answered by mathmax by abdo last updated on 29/Jan/21
$$\mathrm{for}\:\mathrm{x}\in\mathrm{C}\:\:\:\:\mathrm{no}\:\mathrm{difference}\:\:\sqrt{\mathrm{x}^{\mathrm{2}} }=\left(\sqrt{\mathrm{x}}\right)^{\mathrm{2}} \\ $$$$\mathrm{inside}\:\mathrm{R}\:\:\sqrt{\mathrm{x}^{\mathrm{2}} }=\mid\mathrm{x}\mid\:\mathrm{here}\:\mathrm{x}\:\in\mathrm{R}\:\:\mathrm{and}\:\left(\sqrt{\mathrm{x}}\right)^{\mathrm{2}} \:=\mathrm{x}\:\mathrm{here}\:\mathrm{x}\in\mathrm{R}^{+} \\ $$