Question

Alguém me ajuda a calcular essa raiz, por favor. Ja tentei fazer, mas nao sei se está certo

Answer 1

$Sendo\\ \\ ~A=\sqrt{(\frac{1}{2} )^2.(\frac{5}{12}.\frac{15}{9} )} ~~opera~e~simplifico~fica\\\\A=\sqrt{\frac{1}{4}.(\frac{5}{4}.\frac{5}{9} ) } \\\\A=\sqrt{\frac{25}{16}.\frac{1}{9} } ~~~Por~propriedade\\\\A=\sqrt{\frac{25}{16} } .\sqrt{\frac{1}{9} } \\\\A=\frac{\sqrt{25} }{\sqrt{16} } .\frac{\sqrt{1} }{\sqrt{9} } \\\\A=\frac{5}{4}.\frac{1}{3} \\\\\boxed{\mathbf{A=\frac{5}{12}}}$