Odpowiedź:
Zad 1
[tex]280 = 2*2*2*5*7\\450 = 2*3*3*5*5\\1024 = 2*2*2*2*2*2*2*2*2*2\\512 = 2*2*2*2*2*2*2*2*2[/tex]
Zad 2
[tex]a) \frac{3}{\sqrt{7}} * \frac{\sqrt{7}}{\sqrt{7}} =\frac{3\sqrt{7} }{\sqrt{7} \sqrt{7} } = \frac{3\sqrt{7} }{7} \\b) \frac{\sqrt{7}}{\sqrt{12} } = \frac{\sqrt 7}{2\sqrt{3} } * \frac{\sqrt{3} }{\sqrt{3} } =\frac{\sqrt{7} \sqrt{3} }{2\sqrt{3} \sqrt{3} } = \frac{\sqrt{21} }{2*3} =\frac{\sqrt{21} }{6} \\c) \frac{2\sqrt{3} }{4\sqrt{7} } =\frac{\sqrt{3} }{2\sqrt{7} } * \frac{\sqrt{7} }{\sqrt{7} } = \frac{\sqrt{3} \sqrt{7} }{2\sqrt{7}\sqrt{7} } = \frac{\sqrt{21} }{2*7} = \frac{\sqrt{21} }{14} \\[/tex]
[tex]d) \frac{1-\sqrt{3} }{\sqrt{7} } * \frac{\sqrt{7} }{\sqrt{7} } = \frac{(1-\sqrt{3})\sqrt{7} }{\sqrt{7} \sqrt{7} } = \frac{\sqrt{7}-\sqrt{21} }{7}[/tex]
