Question

1 propriedade

$\sqrt{5 {}^{2} }$
$\sqrt[7]{(2 \times {)}^{7} }$
$\sqrt[11]{( \frac{3}{a} ) {}^{ {}^{11} } }$
$\sqrt[12]{( \frac{5}{b} ) {}^{ {}^{12} } }$
$\sqrt[5]{ \frac{a}{2} ) {}^{5} }$
​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Propriedade\,do\,radical\,aritm\acute etico}\\\huge\boxed{\boxed{\boxed{\boxed{\sf \sqrt[\sf n]{\sf a^n}=a}}}}\end{array}}$

$\Large\boxed{\begin{array}{l}\rm a)~\sf\sqrt{5^2}=5\\\rm b)~\sf\sqrt[\sf7]{\sf(2x)^7}=2x\\\rm c)~\sf\sqrt[\sf11]{\sf\bigg(\dfrac{3}{a}\bigg)^{11}}=\dfrac{3}{a}\\\\\rm d)~\sf\sqrt[\sf12]{\sf\bigg(\dfrac{5}{b}\bigg)^{12}}=\dfrac{5}{b}\\\\\rm e)~\sf\sqrt[\sf5]{\sf\bigg(\dfrac{a}{2}\bigg)^5}=\dfrac{a}{2}\end{array}}$