Question

Fatore as raízes.
a)√100 b) √200 c) √96

Answer 1

Olá!

a)

$\sqrt{100}\\\\=\sqrt{10^2}\\\\=10$

b)

$\sqrt{200}\\\\=\sqrt{2^3\cdot \:5^2}\\\\=\sqrt{2^2\cdot \:2\cdot \:5^2}\\\\=\sqrt{2^2}\sqrt{2}\sqrt{5^2}\\\\=2\sqrt{2}\sqrt{5^2}\\\\=2\sqrt{2}\cdot \:5\\\\=10\sqrt{2}$

c)

$\sqrt{96}\\\\=\sqrt{2^5\cdot \:3}\\\\=\sqrt{2^4\cdot \:2\cdot \:3}\\\\=\sqrt{2^4}\sqrt{2\cdot \:3}\\\\=4\sqrt{2\cdot \:3}\\\\=4\sqrt{6}$

Espero ter ajudado, tenha boas aulas!