Question

7. Simplifique o radical *
Helpp

Answer 1

$\large\boxed{\begin{array}{l}\sf\sqrt[\sf 3]{\sf 5^{14}\cdot 7^2\cdot 10^3}\\\sf\sqrt[\sf 3]{\sf 5^{12+2}\cdot 7^2\cdot 10^3}\\\sf\sqrt[\sf 3]{\sf 5^{12}\cdot 5^2\cdot 7^2\cdot 10^3}\\\sf=5^4\cdot3\sqrt[\sf 3]{\sf 5^2\cdot 7^2}\\\sf =1875\sqrt[\sf3]{\sf25\cdot49}\\\sf=1875\sqrt[\sf3]{\sf1225}\end{array}}\blue{\checkmark}$