Question

Simplificar los radicales siguientes por extracción de factores:
√8
√20
∛16
∛375
√32
√45
∛-81
⁴√48x
√75
√27a
∛128
⁴√162

Answer 1

Respuesta:

Explicación paso a paso:

$\sqrt{8}=\sqrt{(2)(4)}=\sqrt{2}\sqrt{4}=\sqrt{2}*2=2\sqrt{2}\\\\\sqrt{20}=\sqrt{(4)(5)}=2\sqrt{5}\\\\\sqrt{375}=\sqrt{15)(25)}=5\sqrt{15}\\\\\sqrt{32}=\sqrt{(2)(16)}=4\sqrt{2}\\\\\sqrt{45}=\sqrt{(5)(9)}=3\sqrt{5}\\\\\sqrt[4]{48}=\sqrt[4]{(3)(16)}=2\sqrt[4]{3}\\\\\sqrt{75}=\sqrt{(3)(25)}=5\sqrt{3}\\\\\sqrt{27}a=\sqrt{(3)(9)}a=3\sqrt{3}a\\\\\sqrt{128}=\sqrt{(2)(64)}=8\sqrt{2}\\\\\sqrt[4]{162}=\sqrt[4]{(2)(81)}=3\sqrt[4]{2}$

Saludos