Question

Calcule as questões.
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Answer 1

$1a) \sqrt{45} \times \sqrt{36 \times 25} = \\ 3 \sqrt{5} \times 6 \times 5 \\ 90 \sqrt{5} \\ ≈201.24612$

$b)\sqrt{ {13}^{2} \times {20}^{2} } = \\ 13 \times 20 \\ 260$

$c) \sqrt[5]{ {3}^{2} } \times \sqrt[5]{ {3}^{3} } = \\ \sqrt[5]{ {3}^{2} \times {3}^{3} } \\ \sqrt[5]{ {3}^{5} } \\ 3$

$d) \sqrt[3]{ {5}^{6} } = \\ 5 {}^{2} \\ 25$

$2 a) \sqrt{ \frac{3}{25} } = \frac{ \sqrt{3} }{ \sqrt{25} } = \frac{ \sqrt{3} }{5} = ≈0.34641$

$b) \sqrt{25} = \\ \sqrt{ {2}^{2} } \\ 5$

$c) \sqrt[3]{ \frac{125}{8} } = \frac{ \sqrt[3]{125} }{ \sqrt[3]{8} } = \frac{ \sqrt[3]{ {5}^{3} } }{ \sqrt[3]{ {2}^{3} } } = \frac{5}{2}$