Question

Simplifique os radicais

a) /12 =

b) /18=

c) /50=

d) /72=

e) /99=

f) /75=

g) /200=

h) /98=​

Answer 1

Resposta:

As simplificações são feitas a seguir.

Explicação passo-a-passo:

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$a)\;\sqrt{12}=\sqrt{4\;.\;3}=\sqrt{4}\;.\;\sqrt{3}=2\sqrt{3}\\\\\\b)\;\sqrt{18}=\sqrt{9\;.\;2}=\sqrt{9}\;.\;\sqrt{2}=3\sqrt{2}\\\\\\c)\;\sqrt{50}=\sqrt{25\;.\;2}=\sqrt{25}\;.\;\sqrt{2}=5\sqrt{2}\\\\\\d)\;\sqrt{72}=\sqrt{36\;.\;2}=\sqrt{36}\;.\;\sqrt{2}=6\sqrt{2}\\\\\\e)\;\sqrt{99}=\sqrt{9\;.\;11}=\sqrt{9}\;.\;\sqrt{11}=3\sqrt{11}\\\\\\f)\;\sqrt{75}=\sqrt{25\;.\;3}=\sqrt{25}\;.\;\sqrt{3}=5\sqrt{3}\\\\\\g)\;\sqrt{200}=\sqrt{100\;.\;2}=\sqrt{100}\;.\;\sqrt{2}=10\sqrt{2}$

$h)\;\sqrt{98}=\sqrt{49\;.\;2}=\sqrt{49}\;.\;\sqrt{2}=7\sqrt{2}$