Question

Extraer los factores posibles de los siguientes radicales

Answer 1

$a) \sqrt{18} = \sqrt{2 \times {3}^{2} } = 3 \sqrt{2}$

$b) \sqrt[3]{16} = \sqrt[3]{ {2}^{4} } = 2 \sqrt[3]{2}$

$c) \sqrt{9 {a}^{3} } = \sqrt{ {3}^{2} {a}^{3} } = 3a \sqrt{a}$

$d) \sqrt{98 {a}^{3} {b}^{5} {c}^{7} } = \sqrt{2 \times {7}^{2} \times {a}^{3} \times {b}^{5} \times {c}^{7} } = 7 \times a \times {b}^{2} \times {c}^{3} \times \sqrt{2abc} = 7a {b}^{2} {c}^{3} \sqrt{2abc}$