Simplifique os radicais a seguir:
Anexos:

Soluções para a tarefa
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4
Ok, Vamos la!
a)

b)
![\sqrt[3]{ {5}^{4} } = \sqrt[3]{ {5}^{3} \times {5}^{1} } = 5 \sqrt[3]{5} \sqrt[3]{ {5}^{4} } = \sqrt[3]{ {5}^{3} \times {5}^{1} } = 5 \sqrt[3]{5}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%7B5%7D%5E%7B4%7D+%7D++%3D++%5Csqrt%5B3%5D%7B+%7B5%7D%5E%7B3%7D++%5Ctimes++%7B5%7D%5E%7B1%7D+%7D+%3D+5+%5Csqrt%5B3%5D%7B5%7D+)
c)
![\sqrt[4]{ {7}^{5} } = \sqrt[4]{ {7}^{4} \times {7}^{1} } = 7 \sqrt[4]{7} \sqrt[4]{ {7}^{5} } = \sqrt[4]{ {7}^{4} \times {7}^{1} } = 7 \sqrt[4]{7}](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B+%7B7%7D%5E%7B5%7D+%7D++%3D++%5Csqrt%5B4%5D%7B+%7B7%7D%5E%7B4%7D+%5Ctimes++%7B7%7D%5E%7B1%7D++%7D++%3D+7+%5Csqrt%5B4%5D%7B7%7D+)
d)
![\sqrt[4]{ {a}^{9} } = \sqrt[4]{ {a}^{4} \times {a}^{4} \times {a}^{1} } = 2a \sqrt[4]{a} \sqrt[4]{ {a}^{9} } = \sqrt[4]{ {a}^{4} \times {a}^{4} \times {a}^{1} } = 2a \sqrt[4]{a}](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B+%7Ba%7D%5E%7B9%7D+%7D++%3D++%5Csqrt%5B4%5D%7B+%7Ba%7D%5E%7B4%7D+%5Ctimes++%7Ba%7D%5E%7B4%7D+%5Ctimes++%7Ba%7D%5E%7B1%7D+++%7D++%3D+2a+%5Csqrt%5B4%5D%7Ba%7D+)
e)
![\sqrt[3]{ {x}^{7} } = \sqrt[3]{ { {x}^{3} } \times {x}^{3} \times {x}^{1} } = 2x \sqrt[3]{x} \sqrt[3]{ {x}^{7} } = \sqrt[3]{ { {x}^{3} } \times {x}^{3} \times {x}^{1} } = 2x \sqrt[3]{x}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%7Bx%7D%5E%7B7%7D+%7D++%3D++%5Csqrt%5B3%5D%7B+%7B+%7Bx%7D%5E%7B3%7D+%7D+%5Ctimes++%7Bx%7D%5E%7B3%7D++%5Ctimes++%7Bx%7D%5E%7B1%7D++%7D+%3D+2x+%5Csqrt%5B3%5D%7Bx%7D++)
f)
![\sqrt[3]{ {m}^{8} } = \sqrt[3]{ {m}^{3} \times {m}^{3} \times {m}^{2} } = 2m \sqrt[3]{ {m}^{2} } \sqrt[3]{ {m}^{8} } = \sqrt[3]{ {m}^{3} \times {m}^{3} \times {m}^{2} } = 2m \sqrt[3]{ {m}^{2} }](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B+%7Bm%7D%5E%7B8%7D+%7D++%3D++%5Csqrt%5B3%5D%7B+%7Bm%7D%5E%7B3%7D++%5Ctimes++%7Bm%7D%5E%7B3%7D+%5Ctimes++%7Bm%7D%5E%7B2%7D++%7D++%3D++2m+%5Csqrt%5B3%5D%7B+%7Bm%7D%5E%7B2%7D+%7D+)
Espero ter ajudado.
a)
b)
c)
d)
e)
f)
Espero ter ajudado.
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