Question

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Answer 1

Explicação passo-a-passo:

$5) \\ a) \sqrt[5]{ {2}^{10} } = {2}^{10 \div 5} = {2}^{2} = 4$

$b) \sqrt[16]{ {15}^{4} } = \sqrt[8]{ {15}^{2} } = \sqrt[4]{15}$

$c) \sqrt{ {5}^{4} } = {5}^{2} = 25$

$6) \\ a) \sqrt{8} = \sqrt{ {2}^{3} } = 1.41 {}^{3}$

$b) \sqrt{12} = \sqrt{2.2.3} = 1.41 {}^{2} \times 1.73$

$c) \sqrt{50} = \sqrt{2 \times5 \times 5} = 5 \sqrt{2} = 5 \times 1.41 = 7.05$

$7) \\ a) \frac{1}{ \sqrt{3} } = \frac{1 \sqrt{3} }{ \sqrt{3} \sqrt{3} } = \frac{ \sqrt{3} }{3}$

$b) \frac{3}{2 \sqrt{5} } = \frac{3 \sqrt{5} }{2 \times 5} = \frac{3 \sqrt{5} }{10}$

$c) \frac{2}{ \sqrt{8} } = \frac{2}{2 \sqrt{2} } = \frac{1}{ \sqrt{2} } = \frac{ \sqrt{2} }{2}$