Question

30 PONTOS, MATEMATICA!!!!
. em cada um dos itens, fatore inicialmente o radicando e verifique se é possivel aplicar um dosdois casos de simplificaçao. se possivel, simplifique
. a)$\sqrt[3]{1080}$= b)$\sqrt{125}$= c)$\sqrt[3]{48}$= d)$\sqrt{98}$= e)$\sqrt{300}$= f)$\sqrt[4]{96}$=

Answer 1

Oie, Td Bom?!

a)

$\sqrt[3]{1080}$

$\sqrt[3]{6 {}^{3} \times 5 }$

$\sqrt[3]{6 {}^{3} } \sqrt[3]{5}$

$6 \sqrt[3]{5}$

b)

$\sqrt{125}$

$\sqrt{5 {}^{2} \times 5 }$

$\sqrt{5 {}^{2} } \sqrt{5}$

$5 \sqrt{5}$

c)

$\sqrt[3]{48}$

$\sqrt[3]{2 {}^{3} \times 6 }$

$\sqrt[3]{2 {}^{3} } \sqrt[3]{6}$

$2 \sqrt[3]{6}$

d)

$\sqrt{98}$

$\sqrt{7 {}^{2} \times 2}$

$\sqrt{7 {}^{2} } \sqrt{2}$

$7 \sqrt{2}$

e)

$\sqrt{300}$

$\sqrt{10 {}^{2} \times 3 }$

$\sqrt{10 {}^{2} } \sqrt{3}$

$10 \sqrt{3}$

f)

$\sqrt[4]{96}$

$\sqrt[4]{2 {}^{4} \times 6}$

$\sqrt[4]{2 {}^{4} } \sqrt[4]{6}$

$2 \sqrt[4]{6}$

Att. Makaveli1996