Question

Cum scot factorii de sub radical?
a) radical din 2 la a 3 a
b) radical de ordin 3 din 3 la puterea a 5 a d

Answer 1

    
[tex] \sqrt{2^3} =\sqrt{2^{2+1}}= \sqrt{2^2 \times 2^1}= \sqrt{2^2} \times \sqrt{2^1}=2 \times \sqrt{2} = \boxed{2\sqrt{2}} \\ \\ \sqrt[3]{3^5}= \sqrt[3]{3^{3+2}}=\sqrt[3]{3^3 \times 3^2}=\sqrt[3]{3^3} \times \sqrt[3]{3^2}=3 \times \sqrt[3]{3^2}=\boxed{3\sqrt[3]{3^2}}[/tex]