Question

Calcule

a) $\sqrt{17}. \sqrt{17}$
b) $\sqrt[3]{5} .\sqrt[3]{25}$
c) $\sqrt{2} . \sqrt{40,5}$
d) $\sqrt{7} . 3 . \sqrt{7}$
e) $2. \sqrt{5} .3. \sqrt{5}$
f) $\sqrt{3} . \sqrt{6} . \sqrt{6} . \sqrt{3}$

Answer 1

$a) \sqrt{17} \times \sqrt{17} = \sqrt{17}^2 = 17 \\\\ b) \sqrt[3]{5} \times \sqrt[3]{25} = \sqrt[3]{5 \times 25} = \sqrt{125} = \sqrt{5^3} = 5 \\\\ c) \sqrt{2} \times \sqrt{40,5} = \sqrt{2 \times 40^5} = \sqrt{81} = \sqrt{9^2} = 9 \\\\ d) \sqrt{7} \times 3 \times \sqrt{7} = 3 \times \sqrt{7}^2 = 3 \times 7 = 21 \\\\ e) 2\sqrt{5} \times 3\sqrt{5} = 2 \times 3 \sqrt{5}^2 = 6 \times 5 = 30 \\\\ f) \sqrt{3} \times \sqrt{6} \times \sqrt{6} \times \sqrt{3} = \sqrt{3}^2 \times \sqrt{6}^2 = 3 \times 6 = 24$

Obs para as letras d, e, f: A ordem dos fatores não altera o produto.