Question

fatore o radicando e simplifique cada radical a seguir​

Answer 1

Resposta: (Na explicação)

Explicação passo a passo:

a) $\sqrt{625} = \sqrt{25*25} = \sqrt{25} *\sqrt{25} = 5*5 = 25$

b)$\sqrt[3]{135} = \sqrt[3]{5*27} =\sqrt[3]{5} *\sqrt[3]{27} = 3*\sqrt[3]{5}$

c)$\sqrt[5]{1024} = \sqrt[5]{2^{10}} = \sqrt[5]{2^5*2^5}= \sqrt[5]{2^5}* \sqrt[5]{2^5} = 2 * 2=4$

d)$\sqrt{588} = \sqrt{49*12} =\sqrt{49}*\sqrt{12} =7*\sqrt{4*3}=7*\sqrt{4} *\sqrt{3} =7*2*\sqrt{3} = 14\sqrt{3}$

e)$\sqrt[4]{768} =\sqrt[4]{64*12} = \sqrt[4]{64*4}*\sqrt[4]{3} = \sqrt[4]{2^6*2^2}*\sqrt[4]{3} = \sqrt[4]{2^8}*\sqrt[4]{3} = 2^2*\sqrt[4]{3} = 4*\sqrt[4]{3}$

f)$\sqrt[4]{240} = \sqrt[4]{16*15} = \sqrt[4]{16} * \sqrt[4]{15} = \sqrt[4]{2^4}*\sqrt[4]{15} = 2*\sqrt[4]{15}$

g)$\sqrt{243} = \sqrt{81*3} = \sqrt{81}*\sqrt{3} =\sqrt{3^4}*\sqrt{3} = 3^2*\sqrt{3} = 9\sqrt{3}$

h)$\sqrt[3]{375} = \sqrt[3]{125*3} = \sqrt[3]{125}*\sqrt[3]{3} = \sqrt[3]{5^3} *\sqrt[3]{3} = 5*\sqrt[3]{3}$

i)$\sqrt[3]{48} = \sqrt[3]{8*6} = \sqrt[3]{8} *\sqrt[3]{6} = \sqrt[3]{2^3}*\sqrt[3]{6} = 2*\sqrt[3]{6}$

j)$\sqrt[3]{512} = \sqrt[3]{2^9} = 2^3 = 8$