Wykonaj wskazane działania:
a)
b)![-5 \sqrt[3]{9} -10 \sqrt[3]{-9} =](https://tex.z-dn.net/?f=-5+%5Csqrt%5B3%5D%7B9%7D+-10+%5Csqrt%5B3%5D%7B-9%7D+%3D "-5 \sqrt[3]{9} -10 \sqrt[3]{-9} =")
c)
d)
e)
f)![[ \sqrt{ \frac{3}{20} } : \sqrt{1 \frac{1}{15} } +( \sqrt{ \frac{3}{8}) ^{2} } ] ^{-1} : \sqrt{1 \frac{7}{8} } =](https://tex.z-dn.net/?f=%5B+%5Csqrt%7B+%5Cfrac%7B3%7D%7B20%7D+%7D+%3A+%5Csqrt%7B1+%5Cfrac%7B1%7D%7B15%7D+%7D+%2B%28+%5Csqrt%7B+%5Cfrac%7B3%7D%7B8%7D%29+%5E%7B2%7D+%7D+%5D+%5E%7B-1%7D+%3A+%5Csqrt%7B1+%5Cfrac%7B7%7D%7B8%7D+%7D+%3D "[ \sqrt{ \frac{3}{20} } : \sqrt{1 \frac{1}{15} } +( \sqrt{ \frac{3}{8}) ^{2} } ] ^{-1} : \sqrt{1 \frac{7}{8} } =")
a)
b)
c)
d)
e)
f)
Rodeway
![10 \sqrt{10} - 2,5 \sqrt{10} = 7,5 \sqrt{10} \\ -5 \sqrt[3]{9} - 10 \sqrt[3]{-9}= -5 \sqrt[3]{9} - (-10 \sqrt[3]{9} )= -5 \sqrt[3]{9} + 10 \sqrt[3]{9} = 5 \sqrt[3]{9} \\ 3 \sqrt{45} - 7 \sqrt{8} + 3 \sqrt{20} + 2 \sqrt{50} = 3( \sqrt{45} + \sqrt{20} ) - \sqrt{392} + \sqrt{200} = \\ = 3(3 \sqrt{5} +2 \sqrt{5} )-14 \sqrt{2} + 10 \sqrt{2} = 9 \sqrt{5} + 6 \sqrt{5} -4 \sqrt{2}=15 \sqrt{5} - 4 \sqrt{2}](https://tex.z-dn.net/?f=10+%5Csqrt%7B10%7D+-+2%2C5+%5Csqrt%7B10%7D+%3D+7%2C5+%5Csqrt%7B10%7D++%5C%5C+-5+%5Csqrt%5B3%5D%7B9%7D+-+10+%5Csqrt%5B3%5D%7B-9%7D%3D+-5+%5Csqrt%5B3%5D%7B9%7D+-+%28-10+%5Csqrt%5B3%5D%7B9%7D+%29%3D+-5+%5Csqrt%5B3%5D%7B9%7D+%2B+10+%5Csqrt%5B3%5D%7B9%7D+%3D+5+%5Csqrt%5B3%5D%7B9%7D+%5C%5C+3+%5Csqrt%7B45%7D+-+7+%5Csqrt%7B8%7D+%2B+3+%5Csqrt%7B20%7D+%2B+2+%5Csqrt%7B50%7D+%3D+3%28+%5Csqrt%7B45%7D+%2B+%5Csqrt%7B20%7D+%29+-+%5Csqrt%7B392%7D+%2B++%5Csqrt%7B200%7D+%3D+%5C%5C+%3D+3%283+%5Csqrt%7B5%7D+%2B2+%5Csqrt%7B5%7D+%29-14+%5Csqrt%7B2%7D+%2B+10+%5Csqrt%7B2%7D+%3D+9+%5Csqrt%7B5%7D+%2B+6+%5Csqrt%7B5%7D+-4+%5Csqrt%7B2%7D%3D15+%5Csqrt%7B5%7D+-+4+%5Csqrt%7B2%7D+ "10 \sqrt{10} - 2,5 \sqrt{10} = 7,5 \sqrt{10} \\ -5 \sqrt[3]{9} - 10 \sqrt[3]{-9}= -5 \sqrt[3]{9} - (-10 \sqrt[3]{9} )= -5 \sqrt[3]{9} + 10 \sqrt[3]{9} = 5 \sqrt[3]{9} \\ 3 \sqrt{45} - 7 \sqrt{8} + 3 \sqrt{20} + 2 \sqrt{50} = 3( \sqrt{45} + \sqrt{20} ) - \sqrt{392} + \sqrt{200} = \\ = 3(3 \sqrt{5} +2 \sqrt{5} )-14 \sqrt{2} + 10 \sqrt{2} = 9 \sqrt{5} + 6 \sqrt{5} -4 \sqrt{2}=15 \sqrt{5} - 4 \sqrt{2}")
![[ \sqrt{ \frac{3}{20}} : \sqrt{1 \frac{1}{15} } +( \sqrt{ \frac{3}{8})^2}^ \ {-1} }] : \sqrt{1 \frac{7}{8} } = [\sqrt{ \frac{3}{20}* \frac{15}{16} } + \frac{3}{8} ] ^{-1}: \sqrt{1 \frac{7}{8} } =\\ \\ = [\sqrt{ \frac{9}{64} } + \frac{3}{8} ] : \sqrt{1 \frac{7}{8} }= [ \frac{3}{8} + \frac{3}{8}]^{-1} : \sqrt{ \frac{15}{8} } = (\frac{6}{8} )^{-1}:\sqrt{ \frac{15}{8} }= \frac{4}{3} : \sqrt{ \frac{15}{8} }](https://tex.z-dn.net/?f=%5B+%5Csqrt%7B+%5Cfrac%7B3%7D%7B20%7D%7D+%3A+%5Csqrt%7B1+%5Cfrac%7B1%7D%7B15%7D+%7D+%2B%28+%5Csqrt%7B+%5Cfrac%7B3%7D%7B8%7D%29%5E2%7D%5E+%5C+%7B-1%7D+%7D%5D+%3A+%5Csqrt%7B1+%5Cfrac%7B7%7D%7B8%7D+%7D+%3D++%5B%5Csqrt%7B+%5Cfrac%7B3%7D%7B20%7D%2A+%5Cfrac%7B15%7D%7B16%7D++%7D+%2B+%5Cfrac%7B3%7D%7B8%7D+%5D+%5E%7B-1%7D%3A++%5Csqrt%7B1+%5Cfrac%7B7%7D%7B8%7D+%7D+%3D%5C%5C+%5C%5C+%3D+%5B%5Csqrt%7B+%5Cfrac%7B9%7D%7B64%7D+%7D+%2B++%5Cfrac%7B3%7D%7B8%7D+%5D+%3A+%5Csqrt%7B1+%5Cfrac%7B7%7D%7B8%7D+%7D%3D+%5B+%5Cfrac%7B3%7D%7B8%7D+%2B+%5Cfrac%7B3%7D%7B8%7D%5D%5E%7B-1%7D+%3A++%5Csqrt%7B+%5Cfrac%7B15%7D%7B8%7D+%7D+%3D++%28%5Cfrac%7B6%7D%7B8%7D+%29%5E%7B-1%7D%3A%5Csqrt%7B+%5Cfrac%7B15%7D%7B8%7D+%7D%3D++%5Cfrac%7B4%7D%7B3%7D+%3A+%5Csqrt%7B+%5Cfrac%7B15%7D%7B8%7D+%7D "[ \sqrt{ \frac{3}{20}} : \sqrt{1 \frac{1}{15} } +( \sqrt{ \frac{3}{8})^2}^ \ {-1} }] : \sqrt{1 \frac{7}{8} } = [\sqrt{ \frac{3}{20}* \frac{15}{16} } + \frac{3}{8} ] ^{-1}: \sqrt{1 \frac{7}{8} } =\\ \\ = [\sqrt{ \frac{9}{64} } + \frac{3}{8} ] : \sqrt{1 \frac{7}{8} }= [ \frac{3}{8} + \frac{3}{8}]^{-1} : \sqrt{ \frac{15}{8} } = (\frac{6}{8} )^{-1}:\sqrt{ \frac{15}{8} }= \frac{4}{3} : \sqrt{ \frac{15}{8} }")
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