Odpowiedź:
8
a)
[tex]\sqrt{2}\sqrt{5}\sqrt{3}\\ \sqrt{2x5x3} \\ \sqrt{30} \\\\[/tex]
b)
[tex]\sqrt[3]{5}\sqrt[3]{5} \sqrt[3]{2}\\ \sqrt[3]{5x5x2}\\ \sqrt[3]{50}\\[/tex]
c)
[tex]\frac{\sqrt{6}\sqrt{5} }{\sqrt{2} } \\\frac{\sqrt{30} }{\sqrt{2} } \\\sqrt{15}\\[/tex]
d)
[tex]\frac{\sqrt[3]{10} }{\sqrt[3]{2} \sqrt[3]{5} } \\\frac{\sqrt[3]{2} }{\sqrt[3]{3} }\\ \frac{\sqrt[3]{2} }{\sqrt[3]{3} }x\frac{\sqrt[3]{2^{2} } }{\sqrt[3]{3^{2} } } \\\frac{\sqrt[3]{2}^{3}\sqrt[3]{3}^{2} }{\sqrt[3]{3}^{3}\sqrt[3]{3}^{2} }\\ \frac{\sqrt[3]{2x3}^{2} }{\sqrt[3]{3x3}^{2} }\\ \frac{\sqrt[3]{2x9} }{\sqrt[3]{3}^{3} }\\ \frac{\sqrt[3]{18} }{3}\\[/tex]
Szczegółowe wyjaśnienie: