Question

Cat inseamna 2/3;3/4 etc (din prop radicalilor) cum 1/2=radical 2 asa si cele de mai sus

Answer 1

 

$\displaystyle\bf\\x^2 = 2\cdot2\\\\x^{\left(\frac{1}{2}\right)}=\sqrt{x}\\\sqrt[2]{x}~\text{este echivalent cu}~\sqrt{x}\\x^{\left(\frac{2}{3}\right)}=\sqrt[\b3]{x^2}\\\\\text{Numaratorul fractiei de la exponent este puterea lui x.}\\\text{Numitorul fractiei de la exponent este ordinul radicalului.}\\\\x^{\left(\frac{3}{2}\right)}=\sqrt[\b2]{x^3}=\sqrt{x^3}=x\sqrt{x}\\\\x^{\left(\frac{3}{4}\right)}=\sqrt[\b4]{x^3}$

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$\displaystyle\bf\\Exemplu~concret:\\8^{\left(\frac{2}{3} \right)}=\sqrt[\b3]{8^2}=\sqrt[\b3]{64}=4$