Question

sendo (a+b)³ = √5, calcule o valor de (a+b)².​

Answer 1

$(a+b)^3=\sqrt{5}~\longrightarrow~a+b=\sqrt[3]{5}$

$(a+b)^2=\dfrac{(a+b)^3}{a+b}$

$(a+b)^2=\dfrac{\sqrt{5}}{\sqrt[3]{5}}$

$(a+b)^3=\dfrac{\sqrt{5}}{\sqrt[3]{5}}\cdot\dfrac{\sqrt[3]{5^2}}{\sqrt[3]{5^2}}$

$(a+b)^2=\dfrac{\sqrt{5}\cdot\sqrt[3]{25}}{5}$