Question

Sobre simplificação de radicais
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Answer 1

a) $\sqrt{144000}=\sqrt{120^2.10}=\sqrt{120^2}\sqrt{10}=120\sqrt{10}$

b) $\sqrt{245}=\sqrt{7^2.5}=\sqrt{7^2}\sqrt{5}=7\sqrt{5}$

c) $\sqrt[3]{1728}=\sqrt[3]{12^3}=12$

d) $\sqrt[4]{256a^8b^6}=4a^2b\sqrt[4]{b^2}=4a^2b\sqrt{b}$

e) $\sqrt{81x^5y^{11}}=\sqrt{9^2x^4.xy^{10}.y}=\sqrt{9^2}\sqrt{x^4}\sqrt{y~{10}}\sqrt{xy}=9x^2y^5\sqrt{xy}$