Question

simplifique os radicais fazendo a fatoração ​

Answer 1

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$\boxed{\begin{array}{l}\tt k)~\sf\sqrt{a^{13}}=\sqrt{a^{12}\cdot a}=a^6\sqrt{a}\\\tt l)~\sf\sqrt[\sf3]{\sf a^3b^2}=a\sqrt[\sf3]{\sf b^2}\\\tt m)~\sf\sqrt{25a^2b^7}=\sqrt{5^2a^2b^6b}=5ab^3\sqrt{b}\\\tt n)~\sf\sqrt{576}=\sqrt{2^6\cdot 3^2}=2^3\cdot3=24\\\tt p)~\sf\sqrt{49m^3}=\sqrt{7^2m^2m}=7m\sqrt{m}\\\tt q)~\sf\sqrt{9x^5}=\sqrt{3^2x^4x}=3x^2\sqrt{x}\\\tt r)~\sf\sqrt[\sf3]{\sf a^4}=\sqrt[\sf3]{\sf a^3a}=a\sqrt[\sf3]{\sf a}\end{array}}$

$\large\boxed{\begin{array}{l}\tt s)~\sf\sqrt[\sf4]{\sf16m^5}=\sqrt[\sf4]{\sf 2^4m^4m}=2m\sqrt[\sf4]{\sf m}\\\tt t)~\sf\sqrt[\sf3]{\sf 27a^8}=\sqrt[\sf3]{\sf 3^3a^6a^2}=3a^2\sqrt[\sf3]{\sf a^2}\\\tt u)~\sf\sqrt[\sf3]{\sf 8m^{10}}=\sqrt[\sf3]{\sf 2^3m^9m}=2m^3\sqrt[\sf3]{\sf m}\\\tt v)~\sf\sqrt{4a^5}=\sqrt{2^2a^4a}=2a^2\sqrt{a}\end{array}}$