Question

What is the following sum?

Answer 1

8x^3y^4(∛xy)

First option

Explanation:

`\sqrt[3]{125x^(10)y^(13)}+\sqrt[3]{27x^(10)y^(13)}\\\\\sqrt[3]{125x^(10)y^(13)} = 5x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\\sqrt[3]{27x^(10)y^(13)} = 3x^3\sqrt[3]{x} y^4\sqrt[3]{y} \\\\=5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\mathrm{Add\:similar\:elements:}\:\\5x^3\sqrt[3]{x}y^4\sqrt[3]{y}+3x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\=8x^3\sqrt[3]{x}y^4\sqrt[3]{y}\\\\\\`