saraiwilbon2006
saraiwilbon2006 saraiwilbon2006
  • 11-12-2019
  • Mathematics
contestada

An equation is shown below with a missing value.
8=3√
Enter the missing value into the box in the equation.
8 = 3√


An equation is shown below with a missing value 83 Enter the missing value into the box in the equation 8 3 class=

Respuesta :

calculista
calculista calculista
  • 17-12-2019

Answer:

The missing value is 512

[tex]8=\sqrt[3]{512}[/tex]

Step-by-step explanation:

Let

x ----> the missing value

we have

[tex]8=\sqrt[3]{x}[/tex]

solve for x

That means-----> isolate the variable x

Elevated both sides to the cube

[tex]8^{3}=(\sqrt[3]{x})^{3}[/tex]

Remember that

[tex](\sqrt[3]{a})^{3}=(a^{\frac{1}{3}})^3=a[/tex]

so

[tex](\sqrt[3]{x})^{3}=x[/tex]

substitute

[tex]8^{3}=x[/tex]

[tex]512=x[/tex]

Rewrite

[tex]x=512[/tex]

so

the equation is

[tex]8=\sqrt[3]{512}[/tex]

Answer Link

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