Question

realize a fatoracao do seguinte radical

Answer 1

a) $23328 = 2^2 \times 2^2 \times 3^2 \times 3^2 \times 3^2 \times 2$

$23328 = 2^5 \times 3^5 \times 3$

$\sqrt[5]{23328} = \sqrt[5]{2^5 \times 3^5 \times 3} = 2 \times 3 \sqrt[5]{3} = 6 \sqrt[5]{3}$

b) $75000 = 2^3 \times 5^2 \times 5^2 \times 5 \times 3$

$75000 = 2^3 \times 5^3 \times 5^2 \times 3$

$\sqrt[3]{75000} = \sqrt[3]{2^3 \times 5^3 \times 5^2 \times 3} = 2\times 5\sqrt[3]{25 \times 3} = 10\sqrt[3]{75}$