ME AJUDEM!!
MATEMÁTICA! NÃO ESTOU CONSEGUINDO DE JEITO NENHUM!
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Soluções para a tarefa
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a) 12
b) 4raiz de 3
c) 2raiz de 6
d) 256
e) 6
f) 4
g) 9 + 2raiz de 14.
h) 11 - 6raiz de 2.
I)
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![a) \sqrt{6} . \sqrt{24} = \sqrt{144} = 12 a) \sqrt{6} . \sqrt{24} = \sqrt{144} = 12](https://tex.z-dn.net/?f=a%29+%5Csqrt%7B6%7D+.+%5Csqrt%7B24%7D++%3D++%5Csqrt%7B144%7D++%3D+12)
![b) \sqrt{2} . \sqrt{3} . \sqrt{8} = \sqrt{48} = 4 \sqrt{3} b) \sqrt{2} . \sqrt{3} . \sqrt{8} = \sqrt{48} = 4 \sqrt{3}](https://tex.z-dn.net/?f=b%29+%5Csqrt%7B2%7D+.+%5Csqrt%7B3%7D+.+%5Csqrt%7B8%7D++%3D++%5Csqrt%7B48%7D++%3D+4+%5Csqrt%7B3%7D+)
![c) \sqrt{48} \div \sqrt{2} = \sqrt{24} = 2 \sqrt{6} c) \sqrt{48} \div \sqrt{2} = \sqrt{24} = 2 \sqrt{6}](https://tex.z-dn.net/?f=c%29+%5Csqrt%7B48%7D++%5Cdiv++%5Csqrt%7B2%7D++%3D+++%5Csqrt%7B24%7D++%3D+2+%5Csqrt%7B6%7D+)
![d)( \sqrt{2} ) {}^{16} = 2 {}^{8} = 256 d)( \sqrt{2} ) {}^{16} = 2 {}^{8} = 256](https://tex.z-dn.net/?f=d%29%28+%5Csqrt%7B2%7D+%29+%7B%7D%5E%7B16%7D++%3D+2+%7B%7D%5E%7B8%7D++%3D+256)
![e)(3 \sqrt{2} ) {}^{2} = 9.2 = 18 e)(3 \sqrt{2} ) {}^{2} = 9.2 = 18](https://tex.z-dn.net/?f=e%29%283+%5Csqrt%7B2%7D+%29+%7B%7D%5E%7B2%7D++%3D+9.2+%3D+18)
![f) \sqrt{ \sqrt{2 {}^{8} } } = \sqrt{2 {}^{4} } = 2 {}^{2} = 4 f) \sqrt{ \sqrt{2 {}^{8} } } = \sqrt{2 {}^{4} } = 2 {}^{2} = 4](https://tex.z-dn.net/?f=f%29+%5Csqrt%7B+%5Csqrt%7B2+%7B%7D%5E%7B8%7D+%7D+%7D++%3D++%5Csqrt%7B2+%7B%7D%5E%7B4%7D+%7D++%3D+2+%7B%7D%5E%7B2%7D++%3D+4)
![g)( \sqrt{7} + \sqrt{2} ) {}^{2} = 7 + 2 \sqrt{14} + 2 = 9 + 2 \sqrt{14} g)( \sqrt{7} + \sqrt{2} ) {}^{2} = 7 + 2 \sqrt{14} + 2 = 9 + 2 \sqrt{14}](https://tex.z-dn.net/?f=g%29%28++%5Csqrt%7B7%7D++%2B++%5Csqrt%7B2%7D+%29+%7B%7D%5E%7B2%7D++%3D+7+%2B+2++%5Csqrt%7B14%7D++%2B+2+%3D+9+%2B+2+%5Csqrt%7B14%7D+)
![h)(3 - \sqrt{2} ) {}^{2} = 9 - 6 \sqrt{2} + 2 = 11 - 6 \sqrt{2} h)(3 - \sqrt{2} ) {}^{2} = 9 - 6 \sqrt{2} + 2 = 11 - 6 \sqrt{2}](https://tex.z-dn.net/?f=h%29%283+-++%5Csqrt%7B2%7D+%29+%7B%7D%5E%7B2%7D++%3D++9+-+6+%5Csqrt%7B2%7D++%2B+2+%3D+11+-+6+%5Csqrt%7B2%7D+)
![i) \sqrt{2} . \sqrt[3]{2} = \sqrt[6]{2 {}^{3} } \sqrt[3]{2} = \sqrt[6]{2 {}^{3} } \sqrt[6]{2 {}^{2} } = \sqrt[6]{2 {}^{3} } .2 {}^{2} = \sqrt[6]{2 {}^{5} } = \sqrt[6]{32} i) \sqrt{2} . \sqrt[3]{2} = \sqrt[6]{2 {}^{3} } \sqrt[3]{2} = \sqrt[6]{2 {}^{3} } \sqrt[6]{2 {}^{2} } = \sqrt[6]{2 {}^{3} } .2 {}^{2} = \sqrt[6]{2 {}^{5} } = \sqrt[6]{32}](https://tex.z-dn.net/?f=i%29+%5Csqrt%7B2%7D+.++%5Csqrt%5B3%5D%7B2%7D++%3D++%5Csqrt%5B6%5D%7B2+%7B%7D%5E%7B3%7D+%7D++%5Csqrt%5B3%5D%7B2%7D++%3D++%5Csqrt%5B6%5D%7B2+%7B%7D%5E%7B3%7D+%7D++%5Csqrt%5B6%5D%7B2++%7B%7D%5E%7B2%7D++%7D++%3D++%5Csqrt%5B6%5D%7B2+%7B%7D%5E%7B3%7D+%7D+.2+%7B%7D%5E%7B2%7D++%3D++%5Csqrt%5B6%5D%7B2+%7B%7D%5E%7B5%7D+%7D++%3D++%5Csqrt%5B6%5D%7B32%7D+)
Espero Ter Ajudado!!Bons Estudos!!❤
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♔〘ØŁΔ βØΔ ŦΔŘĐ€〙♔
Espero Ter Ajudado!!Bons Estudos!!❤
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