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Simplifique os radicais:
![a)\ \sqrt{3\cdot5^2}= \sqrt{3}\cdot\sqrt{5^2}=\sqrt{3}\cdot5=5\sqrt{3}\\
b)\ \sqrt{75}=\sqrt{25\cdot3}=\sqrt{25}\cdot\sqrt{3}=5\sqrt{3}\\
c)\ \sqrt[3]{7^3\cdot2}=\sqrt[3]{7^3}\cdot\sqrt[3]{2}=7\sqrt[3]{2}\\
d)\ \sqrt[3]{40}=\sqrt[3]{8\cdot5}=\sqrt[3]{8}\cdot\sqrt[3]{5}=2\sqrt[3]{5}\\
e)\ \sqrt[3]{189}=\sqrt[3]{27\cdot7}=\sqrt[3]{27}\cdot\sqrt[3]{7}=3\sqrt[3]{7}\\
f)\ \sqrt[3]{81}=\sqrt[3]{27\cdot3}=\sqrt[3]{27}\cdot\sqrt[3]{3}=3\sqrt[3]{3}\\](https://tex.z-dn.net/?f=a%29%5C++%5Csqrt%7B3%5Ccdot5%5E2%7D%3D+%5Csqrt%7B3%7D%5Ccdot%5Csqrt%7B5%5E2%7D%3D%5Csqrt%7B3%7D%5Ccdot5%3D5%5Csqrt%7B3%7D%5C%5C%0Ab%29%5C+%5Csqrt%7B75%7D%3D%5Csqrt%7B25%5Ccdot3%7D%3D%5Csqrt%7B25%7D%5Ccdot%5Csqrt%7B3%7D%3D5%5Csqrt%7B3%7D%5C%5C%0Ac%29%5C+%5Csqrt%5B3%5D%7B7%5E3%5Ccdot2%7D%3D%5Csqrt%5B3%5D%7B7%5E3%7D%5Ccdot%5Csqrt%5B3%5D%7B2%7D%3D7%5Csqrt%5B3%5D%7B2%7D%5C%5C%0Ad%29%5C+%5Csqrt%5B3%5D%7B40%7D%3D%5Csqrt%5B3%5D%7B8%5Ccdot5%7D%3D%5Csqrt%5B3%5D%7B8%7D%5Ccdot%5Csqrt%5B3%5D%7B5%7D%3D2%5Csqrt%5B3%5D%7B5%7D%5C%5C+%0Ae%29%5C++%5Csqrt%5B3%5D%7B189%7D%3D%5Csqrt%5B3%5D%7B27%5Ccdot7%7D%3D%5Csqrt%5B3%5D%7B27%7D%5Ccdot%5Csqrt%5B3%5D%7B7%7D%3D3%5Csqrt%5B3%5D%7B7%7D%5C%5C+%0Af%29%5C++%5Csqrt%5B3%5D%7B81%7D%3D%5Csqrt%5B3%5D%7B27%5Ccdot3%7D%3D%5Csqrt%5B3%5D%7B27%7D%5Ccdot%5Csqrt%5B3%5D%7B3%7D%3D3%5Csqrt%5B3%5D%7B3%7D%5C%5C+ "a)\ \sqrt{3\cdot5^2}= \sqrt{3}\cdot\sqrt{5^2}=\sqrt{3}\cdot5=5\sqrt{3}\\
b)\ \sqrt{75}=\sqrt{25\cdot3}=\sqrt{25}\cdot\sqrt{3}=5\sqrt{3}\\
c)\ \sqrt[3]{7^3\cdot2}=\sqrt[3]{7^3}\cdot\sqrt[3]{2}=7\sqrt[3]{2}\\
d)\ \sqrt[3]{40}=\sqrt[3]{8\cdot5}=\sqrt[3]{8}\cdot\sqrt[3]{5}=2\sqrt[3]{5}\\
e)\ \sqrt[3]{189}=\sqrt[3]{27\cdot7}=\sqrt[3]{27}\cdot\sqrt[3]{7}=3\sqrt[3]{7}\\
f)\ \sqrt[3]{81}=\sqrt[3]{27\cdot3}=\sqrt[3]{27}\cdot\sqrt[3]{3}=3\sqrt[3]{3}\\")
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