Question

Escreva na forma de um único radical

a)⁴✓2 × ³✓3 × ⁶✓5?

Answer 1

$mmc(4, 3, 6) = 2 * 2 * 3 = 12\\\sqrt[4*3]{2^3} * \sqrt[3 * 4]{3^4} * \sqrt[6 * 2]{5^2} \\\sqrt[12]{2^3} * \sqrt[12]{3^4} * \sqrt[12]{5^2} \\\sqrt[12]{2^3 * 3^4 * 5^2} = \sqrt[12]{8 * 81 * 25} = \sqrt[12]{16200}$