a)
[tex]3\sqrt[4]{2}=\sqrt[4]{3^4\cdot2}=\sqrt[4]{81\cdot2}=\sqrt[4]{162}[/tex]
b)
[tex]5\sqrt[4]{4}=\sqrt[4]{5^4\cdot4}=\sqrt[4]{625\cdot4}=\sqrt[4]{2500}[/tex]
c)
[tex]4\sqrt[5]{2}=\sqrt[5]{4^5\cdot2}=\sqrt[5]{1024\cdot2}=\sqrt[5]{2048}[/tex]
d)
[tex]10\sqrt[6]{0,01}=\sqrt[6]{10^6\cdot0,01}=\sqrt[6]{1000000\cdot0,01}=\sqrt[6]{10000}[/tex]
e)
[tex]2\sqrt[10]{5}=\sqrt[10]{2^{10}\cdot5}=\sqrt[10]{1024\cdot5}=\sqrt[10]{5120}[/tex]
Odpowiedź:
[tex]3\sqrt[4]{2} = \sqrt[4]{162} \\ \\ 5\sqrt[4]{4} = \sqrt[4]{2500} \\ \\ 4\sqrt[5]{2} = \sqrt[5]{2048} \\ \\ 10\sqrt[6]{0,01} = \sqrt[6]{10 000} \\ \\ 2\sqrt[10]{5} = \sqrt[10]{5120}[/tex]
Szczegółowe wyjaśnienie:
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Verified answer
a)
[tex]3\sqrt[4]{2}=\sqrt[4]{3^4\cdot2}=\sqrt[4]{81\cdot2}=\sqrt[4]{162}[/tex]
b)
[tex]5\sqrt[4]{4}=\sqrt[4]{5^4\cdot4}=\sqrt[4]{625\cdot4}=\sqrt[4]{2500}[/tex]
c)
[tex]4\sqrt[5]{2}=\sqrt[5]{4^5\cdot2}=\sqrt[5]{1024\cdot2}=\sqrt[5]{2048}[/tex]
d)
[tex]10\sqrt[6]{0,01}=\sqrt[6]{10^6\cdot0,01}=\sqrt[6]{1000000\cdot0,01}=\sqrt[6]{10000}[/tex]
e)
[tex]2\sqrt[10]{5}=\sqrt[10]{2^{10}\cdot5}=\sqrt[10]{1024\cdot5}=\sqrt[10]{5120}[/tex]
Odpowiedź:
[tex]3\sqrt[4]{2} = \sqrt[4]{162} \\ \\ 5\sqrt[4]{4} = \sqrt[4]{2500} \\ \\ 4\sqrt[5]{2} = \sqrt[5]{2048} \\ \\ 10\sqrt[6]{0,01} = \sqrt[6]{10 000} \\ \\ 2\sqrt[10]{5} = \sqrt[10]{5120}[/tex]
Szczegółowe wyjaśnienie: