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5-243-2-




Question Number 27402 by sirigidiravikumar@gmail.com last updated on 06/Jan/18
5(√(243^2  ))
$$\mathrm{5}\sqrt{\mathrm{243}^{\mathrm{2}} \:} \\ $$
Answered by Joel578 last updated on 06/Jan/18
5 . (√((243)^2 )) = 5 . (243)^(2/2)  = 1215    (((243)^2 ))^(1/5)  = (243)^(2/5)  = (3^5 )^(2/5)  = 3^2  = 9
$$\mathrm{5}\:.\:\sqrt{\left(\mathrm{243}\right)^{\mathrm{2}} }\:=\:\mathrm{5}\:.\:\left(\mathrm{243}\right)^{\frac{\mathrm{2}}{\mathrm{2}}} \:=\:\mathrm{1215} \\ $$$$ \\ $$$$\sqrt[{\mathrm{5}}]{\left(\mathrm{243}\right)^{\mathrm{2}} }\:=\:\left(\mathrm{243}\right)^{\frac{\mathrm{2}}{\mathrm{5}}} \:=\:\left(\mathrm{3}^{\mathrm{5}} \right)^{\frac{\mathrm{2}}{\mathrm{5}}} \:=\:\mathrm{3}^{\mathrm{2}} \:=\:\mathrm{9} \\ $$

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