Question

Como puedo simplificar las siguientes radicales?
$\sqrt[4]{ \sqrt{ {x}^{3} } \times 16 \times \sqrt{x} }$
$\sqrt[4]{32 {x}^{6 } {y}^{8} }$
$\sqrt{49 {x}^{3} {y}^{7} }$
$2xy \sqrt{128 {x}^{2} {y}^{8} }$
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Answer 1

Explicación paso a paso:

1.

$\sqrt[4]{ \sqrt{ {x}^{3} } \times 16 \times \sqrt{x} } = 2 \sqrt[2]{ {x}} \\ \sqrt[4]{32 {x}^{6 } {y}^{8} } = 2 {y}^{2} \sqrt[4]{2} \sqrt{ {x}^{3} }$

$\sqrt{49 {x}^{3} {y}^{7} } = 7 \sqrt{{x}^{3} {y}^{7}} \\ 2xy \sqrt{128 {x}^{2} {y}^{8} } = 16 \sqrt{2} {x }^{2} {y}^{5}$