Zapisz w jak najprostszej postaci:
a)3√7 - 12√7
b)∛9 - 2∛9
c)⁵√7 - 2⁵√-7
d)∛-6 + ∛6
e) 2√5 · 4√3
f) 2∛3 · 3∛-2
g) 2√30 / √5
h) 8⁵√16 / 16⁵√8
Oblicz:
√3 · √27
⁶√320 : ⁶√5
(5√2)²
(2∛2)³ / 6
√6 · √2 · √3
⅓ ∛-7 · (∛7)²
6√5 · ⅓ √125
2⁴√25 · (8 ⁴√5 )²
Znajdz liczby oznacznone literami:
√a = 0,2
∛b = -1⅓
⁴√e = √3²
√f = ∛12⁰
√c = 3²
∛d = 3∛2³
⁵√g = ½ √4²
Oblicz
√(5³)²
√(0,1²)³
√11⁴
√2¹⁰
∛(7²)³
∛9⁶
∛2¹²
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a)
b)![\sqrt[3]{9}-2\sqrt[3]{9}=-\sqrt[3]{9} \sqrt[3]{9}-2\sqrt[3]{9}=-\sqrt[3]{9}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7D-2%5Csqrt%5B3%5D%7B9%7D%3D-%5Csqrt%5B3%5D%7B9%7D)

c)
d)![\sqrt[3]{-6}+\sqrt[3]{6} = 0 \sqrt[3]{-6}+\sqrt[3]{6} = 0](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-6%7D%2B%5Csqrt%5B3%5D%7B6%7D+%3D+0)
e)
f)![2\sqrt[3]{3} \cdot 3\sqrt[3]{-2} = 6 \sqrt[3]{3 \cdot -2} = 6 \sqrt[3]{-6} 2\sqrt[3]{3} \cdot 3\sqrt[3]{-2} = 6 \sqrt[3]{3 \cdot -2} = 6 \sqrt[3]{-6}](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7B3%7D+%5Ccdot+3%5Csqrt%5B3%5D%7B-2%7D+%3D+6+%5Csqrt%5B3%5D%7B3+%5Ccdot+-2%7D+%3D+6+%5Csqrt%5B3%5D%7B-6%7D)
g)
h)
Oblicz:
2![2\sqrt[4]{25}\cdot(8\sqrt[4]{5})^2=2\sqrt[4]{25}\cdot 64(\sqrt[4]{5})^2=128\sqrt[4]{25\cdot 5^2}=128 \cdot \sqrt[4]{625}=128 \cdot5=640 2\sqrt[4]{25}\cdot(8\sqrt[4]{5})^2=2\sqrt[4]{25}\cdot 64(\sqrt[4]{5})^2=128\sqrt[4]{25\cdot 5^2}=128 \cdot \sqrt[4]{625}=128 \cdot5=640](https://tex.z-dn.net/?f=2%5Csqrt%5B4%5D%7B25%7D%5Ccdot%288%5Csqrt%5B4%5D%7B5%7D%29%5E2%3D2%5Csqrt%5B4%5D%7B25%7D%5Ccdot+64%28%5Csqrt%5B4%5D%7B5%7D%29%5E2%3D128%5Csqrt%5B4%5D%7B25%5Ccdot+5%5E2%7D%3D128+%5Ccdot+%5Csqrt%5B4%5D%7B625%7D%3D128+%5Ccdot5%3D640)
Znajdz liczby oznacznone literami:
podnosimy obie strony do potęgi 2