Question

2- Calculo las raíces teniendo en cuenta las propiedades:​

Answer 1

Verified answer

Explicación paso a paso:

A)

[tex] \sqrt{784} \\ = {784}^{ \frac{1}{2} } \\ = 28[/tex]

B)

[tex] \sqrt{ \frac{289}{64} } \\ = \frac{ \sqrt{289} }{ \sqrt{64} } \\ = \frac{17}{8} [/tex]

C)

[tex] \sqrt{ {( - 9)}^{2} } \\ = \sqrt{81} \\ = 9[/tex]

D)

[tex] \sqrt{ {(1)}^{2} } \\ = \sqrt{1} \\ = 1[/tex]

E)

[tex] \sqrt[3]{ {( - 3)}^{2} \times ( - 3) } \\ = \sqrt[3]{9 \times - 3} \\ = \sqrt[3]{ - 27} \\ = - 3[/tex]

F)

[tex] \sqrt{64 \times 36} \\ = \sqrt{64} \times \sqrt{36} \\ = 8 \times 6 \\ = 48[/tex]

G)

[tex] \sqrt[3]{ \frac{ - 8}{125} } \\ = \frac{ \sqrt[3]{ - 8} }{ \sqrt[3]{125} } \\ = \frac{ - 2}{5} \\ = - \frac{2}{5} [/tex]

H)

[tex] {( \sqrt[6]{9}) }^{12} \\ = {( {9}^{ \frac{1}{6} } )}^{12} \\ = {9}^{ \frac{12}{6} } \\ = {9}^{2} \\ = 81[/tex]

I)

[tex] \sqrt[4]{ \sqrt{2} } \\ = \sqrt[8]{2} \\ = {2}^{ \frac{1}{8} } [/tex]