Question

Expresa como potencias de exponente racional √99;√365;√44;√75;√3;√18;√243 ?.

ayudenmen porfa

Answer 1

\sqrt{99}%3D++\sqrt{3^2.11}%3D++\sqrt{3^2}+\sqrt{11}%3D+3+\sqrt{11}\to+3.(11)^{+\frac{1}{2}}+++\\++\\++\sqrt{365}%3D(365)+^{+\frac{1}{2}}+\\++\\++\sqrt{44}%3D++\sqrt{2^2.11}%3D+\sqrt{2^2}.++\sqrt{11}%3D+2.+\sqrt{11}\to+2.(11)^{+\frac{1}{2}}++++\\++\\++\sqrt{75}%3D++\sqrt{3.5^2}%3D++\sqrt{3}.++\sqrt{5^2}%3D5.++\sqrt{3}\to+5.(3)^{+\frac{1}{2}}+++++\\++\\++\sqrt{3}%3D+(3)^{+\frac{1}{2}}++++\\++\\++\sqrt{18}%3D++\sqrt{2.3^2}%3D+\sqrt{2}.++\sqrt{3^2}%3D+3.+\sqrt{2}\to+3.(2)^{+\frac{1}{2}}+++++