Question

Como calcular

$(2 \sqrt{2})^{3}$

Answer 1

$Ola'~~\mathbb{HANA} \\ \\ (2 \sqrt{2}) ^{3} ~~--\ \textgreater \ propiedade~algebraica~[(a.b) ^{n}= a^{n}. b^{n}] \\ \\ 2^{3}.( \sqrt{2})\³ \\ \\ 8. \sqrt{ 2^{3} } \\ \\ 8. \sqrt{4.2} \\ \\ 8.2 \sqrt{2} \\ \\ \boxed{\boxed{16 \sqrt{2} }} \\ \\ \mathbb{tttttttttttttttttttttttttttttttttttt}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~espero~ter~ajudado!!$

Answer 2

$(2\sqrt{2})^3\Longrightarrow2^3\cdot\sqrt2^3\Longrightarrow8\cdot\sqrt{2^3}\Longrightarrow8\cdot\sqrt{2\cdot2\cdot2}\Longrightarrow8\cdot\sqrt{2^2\cdot2}\Longrightarrow8\cdot2\sqrt{2}\Longrightarrow\\\\\boxed{16\sqrt2}$