Odpowiedź:
Szczegółowe wyjaśnienie:
a)[tex]\sqrt24[/tex]= [tex]\sqrt4*6=\sqrt4*\sqrt6=2\sqrt{6[/tex]
[tex]\sqrt[3]24=\sqrt[3]8*3=\sqrt[3]{8} *\sqrt[3]{3} =2\sqrt[3]{3}[/tex]
b) [tex]\sqrt{2000} = \sqrt{100*20} =\sqrt{100} *\sqrt{20} =10\sqrt{20}[/tex]
[tex]\sqrt[3]{2000} =\sqrt[3]{1000*20} =\sqrt[3]{1000} *\sqrt[3]{20} = 10\sqrt[3]{20}[/tex]
c) [tex]\sqrt{40} =\sqrt{4*10} = \sqrt{4} * \sqrt{10} = 2\sqrt{10}[/tex]
[tex]\sqrt[3]{40} = \sqrt[3]{8*5} = \sqrt[3]{8} * \sqrt[3]{5} = 2\sqrt[3]{5}[/tex]
d) [tex]\sqrt{56} = \sqrt{4*14} = \sqrt{4} * \sqrt{14} = 2\sqrt{14}[/tex]
[tex]\sqrt[3]{56} = \sqrt[3]{8*7} = \sqrt[3]{8} * \sqrt[3]{7} = 2\sqrt[3]{7}[/tex]
e) [tex]\sqrt{250} = \sqrt{25*10} = \sqrt{25} * \sqrt{10} = 5\sqrt{10}[/tex]
[tex]\sqrt[3]{250} = \sqrt[3]{125*2} = \sqrt[3]{125} * \sqrt[3]{2} = 5\sqrt[3]{2}[/tex]
