Question

Which of these is a solution to the equation x³ = 36

Answer 1

`b)x=\sqrt[3]{36}`

Step-by-step explanation

`\begin{gathered} x^3=36 \\ \end{gathered}`

to solve an equation we need to isolate the variable, in this case, x, so

Step 1

remember this property of the radicals

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

hence

a) get the cubic root in both sides of the equation

`\begin{gathered} x^3=36 \\ \sqrt[3]{x^3}=\sqrt[3]{36} \\ x^{(3)/(3)}=\sqrt[3]{36} \\ x=\sqrt[3]{36} \end{gathered}`

therefore, the answer is

`b)x=\sqrt[3]{36}`

I hope this helps you