Question

Simplifique os radicais:
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Answer 1

f)

$\sqrt{ {7}^{5} } = \sqrt{ {7}^{2} \times {7}^{2} \times 7} = 7 \times 7 \sqrt{7} = 49 \sqrt{7}$

g)

$\sqrt{ {2}^{9} } = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times {2}^{2} \times 2 } = 2 \times 2 \times 2 \times 2 \sqrt{2} = 16 \sqrt{2}$

h)

$\sqrt[3]{ {5}^{10} } = \sqrt[3]{ {5}^{3} \times {5}^{3} \times {5}^{3} \times 5 } = 5 \times 5 \times 5 \sqrt[3]{5} = 125 \sqrt[3]{5}$

i)

$\sqrt[4]{ {7}^{9} } = \sqrt[4]{ {7}^{4} \times {7}^{4} \times 7} = 7 \times 7 \sqrt[4]{7} = 49 \sqrt[4]{7}$

j)

$\sqrt[5]{ {6}^{8} } = \sqrt[5]{ {6}^{5} \times {6}^{3} } = 6 \sqrt[5]{ {6}^{3} }$