Question Number 27402 by sirigidiravikumar@gmail.com last updated on 06/Jan/18
$$\mathrm{5}\sqrt{\mathrm{243}^{\mathrm{2}} \:} \\ $$
Answered by Joel578 last updated on 06/Jan/18
$$\mathrm{5}\:.\:\sqrt{\left(\mathrm{243}\right)^{\mathrm{2}} }\:=\:\mathrm{5}\:.\:\left(\mathrm{243}\right)^{\frac{\mathrm{2}}{\mathrm{2}}} \:=\:\mathrm{1215} \\ $$$$ \\ $$$$\sqrt[{\mathrm{5}}]{\left(\mathrm{243}\right)^{\mathrm{2}} }\:=\:\left(\mathrm{243}\right)^{\frac{\mathrm{2}}{\mathrm{5}}} \:=\:\left(\mathrm{3}^{\mathrm{5}} \right)^{\frac{\mathrm{2}}{\mathrm{5}}} \:=\:\mathrm{3}^{\mathrm{2}} \:=\:\mathrm{9} \\ $$