Question

17) simplifique cada item a seguir:
a)
$\sqrt{8}$
b)
$\sqrt[3]{16}$
c)
$\sqrt{60}$
d)
$\sqrt{200}$


​

Answer 1

Resposta:

$a)\\ \sqrt{8} =\sqrt{2^3} =\sqrt{2^2.2} =2\sqrt{2} \\ \\ b)\\ \sqrt[3]{16} =\sqrt[3]{2^4} =\sqrt[3]{2^3.2} =2\sqrt[3]{2} \\ \\ c)\\ \sqrt{60} =\sqrt{2^2.3.5}=2\sqrt{15} \\ \\ d)\\ \sqrt{200} =\sqrt{2.100} =\sqrt{100} .\sqrt{2} =10\sqrt{2}$