Prosze o pomoc;( w trudnym zadaniu;(
Aby edytować równanie, wprowadź kursor pomiędzy a następnie kliknij π.
a)
c)
e)
b)
d)
f)
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Aby edytować równanie, wprowadź kursor pomiędzy
a następnie kliknij π.
a)![3\sqrt{5}-2+\sqrt{5}-2=4\sqrt{5}-4=4(\sqrt{5}-1) 3\sqrt{5}-2+\sqrt{5}-2=4\sqrt{5}-4=4(\sqrt{5}-1)](https://tex.z-dn.net/?f=+3%5Csqrt%7B5%7D-2%2B%5Csqrt%7B5%7D-2%3D4%5Csqrt%7B5%7D-4%3D4%28%5Csqrt%7B5%7D-1%29)
c)![\sqrt{72}-\sqrt{32}-3\sqrt{8}=\sqrt{8*9}-\sqrt{8*4}-3\sqrt{8}=3\sqrt{8}-2\sqrt{8}-3\sqrt{8} =-2\sqrt{8} -2\sqrt{8}=-2\sqrt{2*4}=-4\sqrt{2} \sqrt{72}-\sqrt{32}-3\sqrt{8}=\sqrt{8*9}-\sqrt{8*4}-3\sqrt{8}=3\sqrt{8}-2\sqrt{8}-3\sqrt{8} =-2\sqrt{8} -2\sqrt{8}=-2\sqrt{2*4}=-4\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B72%7D-%5Csqrt%7B32%7D-3%5Csqrt%7B8%7D%3D%5Csqrt%7B8%2A9%7D-%5Csqrt%7B8%2A4%7D-3%5Csqrt%7B8%7D%3D3%5Csqrt%7B8%7D-2%5Csqrt%7B8%7D-3%5Csqrt%7B8%7D+%3D-2%5Csqrt%7B8%7D+-2%5Csqrt%7B8%7D%3D-2%5Csqrt%7B2%2A4%7D%3D-4%5Csqrt%7B2%7D)
e)![\sqrt{5^2}-5^{-2}=5-\frac{1}{5^{2}}=5-\frac{1}{25}=\frac{125}{25}-\frac{1}{15}=\frac{124}{125} \sqrt{5^2}-5^{-2}=5-\frac{1}{5^{2}}=5-\frac{1}{25}=\frac{125}{25}-\frac{1}{15}=\frac{124}{125}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5E2%7D-5%5E%7B-2%7D%3D5-%5Cfrac%7B1%7D%7B5%5E%7B2%7D%7D%3D5-%5Cfrac%7B1%7D%7B25%7D%3D%5Cfrac%7B125%7D%7B25%7D-%5Cfrac%7B1%7D%7B15%7D%3D%5Cfrac%7B124%7D%7B125%7D)
b)![4\sqrt[3]{2}-5(2\sqrt[3]{2}+1)=4\sqrt[3]{2}-10\sqrt[3]{2}-5=-6\sqrt[3]{2}-5 4\sqrt[3]{2}-5(2\sqrt[3]{2}+1)=4\sqrt[3]{2}-10\sqrt[3]{2}-5=-6\sqrt[3]{2}-5](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B2%7D-5%282%5Csqrt%5B3%5D%7B2%7D%2B1%29%3D4%5Csqrt%5B3%5D%7B2%7D-10%5Csqrt%5B3%5D%7B2%7D-5%3D-6%5Csqrt%5B3%5D%7B2%7D-5)
d)![2\sqrt[3]{24}+\frac{1}{2}(\sqrt[3]{192}-\sqrt[3]{375}) = 2\sqrt[3]{24}+\frac{1}{2}(\sqrt[3]{192}-\sqrt[3]{375}) =](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7B24%7D%2B%5Cfrac%7B1%7D%7B2%7D%28%5Csqrt%5B3%5D%7B192%7D-%5Csqrt%5B3%5D%7B375%7D%29+%3D+)
f)![(2\sqrt{3})^4-(3\sqrt{2})^{-2}=2^4*3^{0,5*4}-3^{-2}*2^{0,5*-2} (2\sqrt{3})^4-(3\sqrt{2})^{-2}=2^4*3^{0,5*4}-3^{-2}*2^{0,5*-2}](https://tex.z-dn.net/?f=%282%5Csqrt%7B3%7D%29%5E4-%283%5Csqrt%7B2%7D%29%5E%7B-2%7D%3D2%5E4%2A3%5E%7B0%2C5%2A4%7D-3%5E%7B-2%7D%2A2%5E%7B0%2C5%2A-2%7D+)