Zad. 2 str. 29 MATeMAtyka 1 technikum / liceum Oblicz: a) ![2 \sqrt[3]{- 1} - \sqrt[3]{-27}](https://tex.z-dn.net/?f=2+%5Csqrt%5B3%5D%7B-+1%7D+-+%5Csqrt%5B3%5D%7B-27%7D+ "2 \sqrt[3]{- 1} - \sqrt[3]{-27}")
b) ![- \sqrt[3]{ \frac{-64}{125}} + \sqrt[3]{-0,125}](https://tex.z-dn.net/?f=-+%5Csqrt%5B3%5D%7B+%5Cfrac%7B-64%7D%7B125%7D%7D+%2B+%5Csqrt%5B3%5D%7B-0%2C125%7D+ "- \sqrt[3]{ \frac{-64}{125}} + \sqrt[3]{-0,125}")
d) ![\frac{ \sqrt[3]{-9}* \sqrt[3]{-9} }{ \sqrt[3]{-3} } - \frac{ \sqrt[3]{24} }{ \sqrt[3]{-3} }](https://tex.z-dn.net/?f=+%5Cfrac%7B+%5Csqrt%5B3%5D%7B-9%7D%2A+%5Csqrt%5B3%5D%7B-9%7D+%7D%7B+%5Csqrt%5B3%5D%7B-3%7D+%7D+-+%5Cfrac%7B+%5Csqrt%5B3%5D%7B24%7D+%7D%7B+%5Csqrt%5B3%5D%7B-3%7D+%7D+ "\frac{ \sqrt[3]{-9}* \sqrt[3]{-9} }{ \sqrt[3]{-3} } - \frac{ \sqrt[3]{24} }{ \sqrt[3]{-3} }")
e) ![\frac{ \sqrt[3]{-16} }{5 \sqrt[3]{2} } - \frac{ \sqrt[3]{-72} }{ \sqrt[3]{-9} }](https://tex.z-dn.net/?f=+%5Cfrac%7B+%5Csqrt%5B3%5D%7B-16%7D+%7D%7B5+%5Csqrt%5B3%5D%7B2%7D+%7D+-+%5Cfrac%7B+%5Csqrt%5B3%5D%7B-72%7D+%7D%7B+%5Csqrt%5B3%5D%7B-9%7D+%7D+ "\frac{ \sqrt[3]{-16} }{5 \sqrt[3]{2} } - \frac{ \sqrt[3]{-72} }{ \sqrt[3]{-9} }")
f) ![\frac{ \sqrt[5]{-128} }{ \sqrt[5]{-4} } + \frac{ \sqrt[7]{-128} }{ \sqrt[9]{-1} }](https://tex.z-dn.net/?f=+%5Cfrac%7B+%5Csqrt%5B5%5D%7B-128%7D+%7D%7B+%5Csqrt%5B5%5D%7B-4%7D+%7D+%2B+%5Cfrac%7B+%5Csqrt%5B7%5D%7B-128%7D+%7D%7B+%5Csqrt%5B9%5D%7B-1%7D+%7D+ "\frac{ \sqrt[5]{-128} }{ \sqrt[5]{-4} } + \frac{ \sqrt[7]{-128} }{ \sqrt[9]{-1} }")
harjus
![a)2 \sqrt[3]{-1}- \sqrt[3]{-27}=2*(-1)-(-3)=-2+3=1](https://tex.z-dn.net/?f=a%292+%5Csqrt%5B3%5D%7B-1%7D-+%5Csqrt%5B3%5D%7B-27%7D%3D2%2A%28-1%29-%28-3%29%3D-2%2B3%3D1 "a)2 \sqrt[3]{-1}- \sqrt[3]{-27}=2*(-1)-(-3)=-2+3=1")
![b)- \sqrt[3]{ \frac{-64}{125} }+ \sqrt[3]{-0,125}=-(- \frac{4}{5}) +(-0,5)=0,8-0,5=0,3](https://tex.z-dn.net/?f=b%29-+%5Csqrt%5B3%5D%7B+%5Cfrac%7B-64%7D%7B125%7D+%7D%2B+%5Csqrt%5B3%5D%7B-0%2C125%7D%3D-%28-+%5Cfrac%7B4%7D%7B5%7D%29+%2B%28-0%2C5%29%3D0%2C8-0%2C5%3D0%2C3 "b)- \sqrt[3]{ \frac{-64}{125} }+ \sqrt[3]{-0,125}=-(- \frac{4}{5}) +(-0,5)=0,8-0,5=0,3")
![d) \frac{ \sqrt[3]{-9}* \sqrt[3]{-9} }{ \sqrt[3]{-3} }- \frac{ \sqrt[3]{24} }{ \sqrt[3]{-3} } = \frac{ \sqrt[3]{81}-2 \sqrt[3]{3} }{ \sqrt[3]{-3} } = \frac{3 \sqrt[3]{3}-2 \sqrt[3]{3} }{- \sqrt[3]{3} } \frac{ \sqrt[3]{3} }{-\sqrt[3]{3} } =-1](https://tex.z-dn.net/?f=d%29+%5Cfrac%7B+%5Csqrt%5B3%5D%7B-9%7D%2A+%5Csqrt%5B3%5D%7B-9%7D++%7D%7B+%5Csqrt%5B3%5D%7B-3%7D+%7D-+%5Cfrac%7B+%5Csqrt%5B3%5D%7B24%7D+%7D%7B+%5Csqrt%5B3%5D%7B-3%7D+%7D+%3D+%5Cfrac%7B+%5Csqrt%5B3%5D%7B81%7D-2+%5Csqrt%5B3%5D%7B3%7D++%7D%7B+%5Csqrt%5B3%5D%7B-3%7D+%7D+%3D+%5Cfrac%7B3+%5Csqrt%5B3%5D%7B3%7D-2+%5Csqrt%5B3%5D%7B3%7D++%7D%7B-+%5Csqrt%5B3%5D%7B3%7D+%7D++%5Cfrac%7B+%5Csqrt%5B3%5D%7B3%7D+%7D%7B-%5Csqrt%5B3%5D%7B3%7D+%7D+%3D-1 "d) \frac{ \sqrt[3]{-9}* \sqrt[3]{-9} }{ \sqrt[3]{-3} }- \frac{ \sqrt[3]{24} }{ \sqrt[3]{-3} } = \frac{ \sqrt[3]{81}-2 \sqrt[3]{3} }{ \sqrt[3]{-3} } = \frac{3 \sqrt[3]{3}-2 \sqrt[3]{3} }{- \sqrt[3]{3} } \frac{ \sqrt[3]{3} }{-\sqrt[3]{3} } =-1")
![e) \frac{ \sqrt[3]{-16} }{5 \sqrt[3]{2} } - \frac{ \sqrt[3]{-72} }{ \sqrt[3]{-9} } = \frac{-2 \sqrt[3]{2} }{5 \sqrt[3]{2}} - \frac{2 \sqrt[3]{-9} }{\sqrt[3]{-9}} =- \frac{2}{5} -2=-2,4](https://tex.z-dn.net/?f=e%29+%5Cfrac%7B+%5Csqrt%5B3%5D%7B-16%7D+%7D%7B5+%5Csqrt%5B3%5D%7B2%7D+%7D+-+%5Cfrac%7B+%5Csqrt%5B3%5D%7B-72%7D+%7D%7B+%5Csqrt%5B3%5D%7B-9%7D+%7D+%3D+%5Cfrac%7B-2+%5Csqrt%5B3%5D%7B2%7D+%7D%7B5+%5Csqrt%5B3%5D%7B2%7D%7D+-+%5Cfrac%7B2+%5Csqrt%5B3%5D%7B-9%7D+%7D%7B%5Csqrt%5B3%5D%7B-9%7D%7D+%3D-+%5Cfrac%7B2%7D%7B5%7D+-2%3D-2%2C4 "e) \frac{ \sqrt[3]{-16} }{5 \sqrt[3]{2} } - \frac{ \sqrt[3]{-72} }{ \sqrt[3]{-9} } = \frac{-2 \sqrt[3]{2} }{5 \sqrt[3]{2}} - \frac{2 \sqrt[3]{-9} }{\sqrt[3]{-9}} =- \frac{2}{5} -2=-2,4")
![f) \frac{ \sqrt[5]{-128} }{ \sqrt[5]{-4} }+ \frac{ \sqrt[7]{-128} }{ \sqrt[9]{-1} } = \sqrt[5]{32}+ \frac{-2}{-1}=2+2=4](https://tex.z-dn.net/?f=f%29+%5Cfrac%7B+%5Csqrt%5B5%5D%7B-128%7D+%7D%7B+%5Csqrt%5B5%5D%7B-4%7D+%7D%2B+%5Cfrac%7B+%5Csqrt%5B7%5D%7B-128%7D+%7D%7B+%5Csqrt%5B9%5D%7B-1%7D+%7D+%3D+%5Csqrt%5B5%5D%7B32%7D%2B+%5Cfrac%7B-2%7D%7B-1%7D%3D2%2B2%3D4++ "f) \frac{ \sqrt[5]{-128} }{ \sqrt[5]{-4} }+ \frac{ \sqrt[7]{-128} }{ \sqrt[9]{-1} } = \sqrt[5]{32}+ \frac{-2}{-1}=2+2=4")
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