Zad.45 Oblicz.
Daje najjj
Potrzebuje do 20 :)

Odpowiedź:
[tex]a)\ \ \sqrt{11\cdot11^3}=\sqrt{11^4}=(11^4)^{\frac{1}{2}}=11^2=121\\\\\\b)\ \ \sqrt{5^6}=(5^6)^{\frac{1}{2}}=5^3=125\\\\\\c)\ \ \sqrt{(2^2)^3}=2^3=8\\\\\\d)\ \ \sqrt{6\cdot6^2\cdot6^3}=\sqrt{6^6}=(6^6)^{\frac{1}{2}}=6^3=216\\\\\\e)\ \ \sqrt[3]{(7^3)^2}=7^2=49\\\\\\f)\ \ \sqrt[3]{10^6}=(10^6)^{\frac{1}{3}}=10^2=100\\\\\\g)\ \ ((\sqrt{3})^3)^2=(\sqrt{3})^6=3^{6\cdot\frac{1}{2}}=3^3=27\\\\\\h)\ \ ((\sqrt[3]{2})^2)^3=(\sqrt[3]{2})^6=2^{6\cdot\frac{1}{3}}=2^2=4[/tex]
[tex]i)\ \ ((-\sqrt{5})^2)^3=((\sqrt{5})^2)^3=5^3=125[/tex]