Question

1)-Qual o valor de A,sabendo que é representado pela expressão: A=5√32-(2√2)*3
a)4√2
b)√32
c)√2
d)√30

Answer 1

$\large\boxed{\begin{array}{l}\sf\begin{array}{c|c}\sf32&\sf2\\\sf16&\sf2\\\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}\\\sf 32=2^2\cdot2^2\cdot2\\\sf \sqrt{32}=\sqrt{2^2\cdot 2^2\cdot2}=2\cdot2\sqrt{2}=4\sqrt{2}\\\sf (2\sqrt{2})^3=2^3\cdot\sqrt{2^3}=8\cdot\sqrt{2^2\cdot2}=16\sqrt{2}\\\sf A=5\sqrt{32}-(2\sqrt{2})^3\\\sf A=5\cdot4\sqrt{2}-16\sqrt{2}\\\sf A=20\sqrt{2}-16\sqrt{2}\\\sf A=4\sqrt{2}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\red{\maltese}~\blue{alternativa~a}}}}}\end{array}}$