Question

Simplifique as expressões numéricas:
A) $\sqrt{50} + \sqrt{18} - \sqrt{8}$
B) $4 \sqrt{63} - \sqrt{7}$
C) $5 \sqrt[5]{3} + 2 \sqrt[5]{3} -2 \sqrt[5]{3} + \sqrt[5]{3}$

Answer 1

$a) \\ \\ \sqrt{50} + \sqrt{18} - \sqrt{8} \\ \\ \sqrt{2*5^2} + \sqrt{2*3^3} - \sqrt{2^3} \\ \\ 5\sqrt{2} + 3\sqrt{2} - 2\sqrt{2} \\ \\ \\ 5\sqrt{2} + \sqrt{2} \\ \\ => 6 \sqrt{2}$

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$b) \\ \\ 4 \sqrt{63} - \sqrt{7} \\ \\ 4 \sqrt{3^2 * 7} - \sqrt{7} \\ \\ 4 * 3 \sqrt{7} - \sqrt{7} \\ \\ 12 \sqrt{7} - \sqrt{7} \\ \\ => 11 \sqrt{7}$

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$c) \\ \\ 5 \sqrt[5]{3} + 2 \sqrt[5]{3} - 2 \sqrt[5]{3} + \sqrt[5]{3} \\ \\ 7 \sqrt[5]{3} - \sqrt[5]{3} \\ \\ => 6 \sqrt[5]{3}$