Zadanie 12 (Test)
Oblicz:
a) \(\displaystyle \sqrt{81} + \sqrt[3]{125}\)
b) \(\displaystyle \sqrt[3]{5^2 + 2}\)
c) \(\displaystyle \sqrt{15^2} + \sqrt[3]{4^3}\)
d) \(\displaystyle \sqrt{3} \cdot \sqrt{12} + 2 \cdot \sqrt[3]{2} \cdot \sqrt[3]{4}\)
e) \(\displaystyle \frac{\sqrt{20} + 3\sqrt{5}}{\sqrt{5}}\)
RozwiÄ…zanie:
a)
\[\sqrt{81} + \sqrt[3]{125} = 9 + 5 = 14\]
b)
\[\sqrt[3]{5^2 + 2} = \sqrt[3]{25 + 2} = \sqrt[3]{27} = 3\]
c)
\[\sqrt{15^2} + \sqrt[3]{4^3} = 15 + 4 = 19\]
d)
\[\sqrt{36} + 2 \cdot \sqrt[3]{8}\]
\[6 + 2 \cdot 2 = 6 + 4 = 10\]
e)
\[\sqrt{20} = \sqrt{4 \cdot 5} = 2\sqrt{5}\]
\[\frac{2\sqrt{5} + 3\sqrt{5}}{\sqrt{5}} = \frac{5\sqrt{5}}{\sqrt{5}} = 5\]
Wyniki zadania 12:
a) \(14\)
b) \(3\)
c) \(19\)
d) \(10\)
e) \(5\)