Question

An equation is shown below with a missing value.

8=3√
Enter the missing value into the box in the equation.
8 = 3√

Answer 1

The missing value is 512

`8=\sqrt[3]{512}`

Explanation:

Let

x ----> the missing value

we have

`8=\sqrt[3]{x}`

solve for x

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

Elevated both sides to the cube

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

Remember that

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

so

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

substitute

`8^(3)=x`

`512=x`

Rewrite

`x=512`

so

the equation is

`8=\sqrt[3]{512}`