Zadanie 12 (Test 2)
Oblicz:
a) \(\displaystyle \sqrt{144} + \sqrt[3]{216}\)
b) \(\displaystyle \sqrt[3]{4^2 + 11}\)
c) \(\displaystyle \sqrt{17^2} + \sqrt[3]{5^3}\)
d) \(\displaystyle \sqrt{2} \cdot \sqrt{50} + 3 \cdot \sqrt[3]{5} \cdot \sqrt[3]{25}\)
e) \(\displaystyle \frac{\sqrt{28} + 4\sqrt{7}}{\sqrt{7}}\)
RozwiÄ…zanie:
a)
\[\sqrt{144} + \sqrt[3]{216} = 12 + 6 = 18\]
b)
\[\sqrt[3]{4^2 + 11} = \sqrt[3]{16 + 11} = \sqrt[3]{27} = 3\]
c)
\[\sqrt{17^2} + \sqrt[3]{5^3} = 17 + 5 = 22\]
d)
\[\sqrt{100} + 3 \cdot \sqrt[3]{125}\]
\[10 + 3 \cdot 5 = 10 + 15 = 25\]
e)
\[\sqrt{28} = \sqrt{4 \cdot 7} = 2\sqrt{7}\]
\[\frac{2\sqrt{7} + 4\sqrt{7}}{\sqrt{7}} = \frac{6\sqrt{7}}{\sqrt{7}} = 6\]
Wyniki zadania 12:
a) \(18\)
b) \(3\)
c) \(22\)
d) \(25\)
e) \(6\)