Question

1- simplifica los siguientes radicales ​

Answer 1

Respuesta:

$d) \sqrt[15]{27 {a}^{12} {b}^{6} } = \sqrt[15]{ {3}^{3} {a}^{12} {b}^{6} } = \sqrt[5]{3 {a}^{4} {b}^{2} }$

$e) \frac{1}{2} \sqrt[3]{8 {x}^{3} {y}^{3} } = \frac{1}{2} \sqrt[3]{ {2}^{3} {x}^{3} {y}^{3} } = \frac{1}{2} \times 2 \times x \times y = xy$

$f) \frac{1}{4} \sqrt[4]{81 {m}^{8} {n}^{4} } = \frac{1}{4} \sqrt[4]{ {3}^{4} {m}^{8} {n}^{4} } = \frac{1}{4} \times 3 \times n \times \sqrt[4]{ {m}^{2} } = \frac{3}{4} n \sqrt[4]{ {m}^{2} } = \frac{3}{4} n \sqrt{m}$