Reduza ao menor indice comum os radicais
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a) ![\sqrt[6]{7} -- \sqrt{3} = mmc (6,2) = 12 \sqrt[6]{7} -- \sqrt{3} = mmc (6,2) = 12](https://tex.z-dn.net/?f=+%5Csqrt%5B6%5D%7B7%7D++--+%5Csqrt%7B3%7D+++%3D++++mmc+%286%2C2%29+%3D+12+++)
![\sqrt[2.6]{7^2} -- \sqrt[6.2]{3^6} = \sqrt[12]{7^2} -- \sqrt[12]{3^6} \sqrt[2.6]{7^2} -- \sqrt[6.2]{3^6} = \sqrt[12]{7^2} -- \sqrt[12]{3^6}](https://tex.z-dn.net/?f=+%5Csqrt%5B2.6%5D%7B7%5E2%7D+--+%5Csqrt%5B6.2%5D%7B3%5E6%7D+%3D+%5Csqrt%5B12%5D%7B7%5E2%7D+--+%5Csqrt%5B12%5D%7B3%5E6%7D+)
b)![\sqrt[5]{3} -- \sqrt{7} = mmc(5,2) = 10 \sqrt[5]{3} -- \sqrt{7} = mmc(5,2) = 10](https://tex.z-dn.net/?f=+%5Csqrt%5B5%5D%7B3%7D+--+%5Csqrt%7B7%7D+%3D+mmc%285%2C2%29+%3D+10)
![\sqrt[2.5]{3^2} -- \sqrt[5.2]{7^5} = \sqrt[10]{3^2} -- \sqrt[10]{7^5} \sqrt[2.5]{3^2} -- \sqrt[5.2]{7^5} = \sqrt[10]{3^2} -- \sqrt[10]{7^5}](https://tex.z-dn.net/?f=+%5Csqrt%5B2.5%5D%7B3%5E2%7D+--+%5Csqrt%5B5.2%5D%7B7%5E5%7D+%3D+%5Csqrt%5B10%5D%7B3%5E2%7D+--+%5Csqrt%5B10%5D%7B7%5E5%7D+)
c)![\sqrt[3]{5} -- \sqrt[6]{2} = mmc(3,6) = 6 \sqrt[3]{5} -- \sqrt[6]{2} = mmc(3,6) = 6](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B5%7D+--+%5Csqrt%5B6%5D%7B2%7D+%3D+mmc%283%2C6%29+%3D+6)
![\sqrt[2.3]{5^2} -- \sqrt[1.6]{2^1} = \sqrt[6]{5^2} -- \sqrt[6]{2} \sqrt[2.3]{5^2} -- \sqrt[1.6]{2^1} = \sqrt[6]{5^2} -- \sqrt[6]{2}](https://tex.z-dn.net/?f=+%5Csqrt%5B2.3%5D%7B5%5E2%7D+--+%5Csqrt%5B1.6%5D%7B2%5E1%7D+%3D+%5Csqrt%5B6%5D%7B5%5E2%7D+--+%5Csqrt%5B6%5D%7B2%7D+)
d)![\sqrt{3} -- \sqrt[3]{5}-- \sqrt[4]{4} = \sqrt[12]{3^6} -- \sqrt[12]{5^4} -- \sqrt[12]{4^3} \sqrt{3} -- \sqrt[3]{5}-- \sqrt[4]{4} = \sqrt[12]{3^6} -- \sqrt[12]{5^4} -- \sqrt[12]{4^3}](https://tex.z-dn.net/?f=+%5Csqrt%7B3%7D+--+%5Csqrt%5B3%5D%7B5%7D--+%5Csqrt%5B4%5D%7B4%7D++%3D+%5Csqrt%5B12%5D%7B3%5E6%7D+--+%5Csqrt%5B12%5D%7B5%5E4%7D+--++%5Csqrt%5B12%5D%7B4%5E3%7D++)
e)![\sqrt{7^3} -- \sqrt[5]{2} -- \sqrt{5} = \sqrt[10]{7^1^5} -- \sqrt[10]{2^2}-- \sqrt[10]{5^5} \sqrt{7^3} -- \sqrt[5]{2} -- \sqrt{5} = \sqrt[10]{7^1^5} -- \sqrt[10]{2^2}-- \sqrt[10]{5^5}](https://tex.z-dn.net/?f=+%5Csqrt%7B7%5E3%7D+--+%5Csqrt%5B5%5D%7B2%7D+--+%5Csqrt%7B5%7D+%3D+%5Csqrt%5B10%5D%7B7%5E1%5E5%7D+--+%5Csqrt%5B10%5D%7B2%5E2%7D--+%5Csqrt%5B10%5D%7B5%5E5%7D++)
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