Subjects algebra

Cubic Root B575Fd

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1. The problem asks if you need to find the cubic root of the other side of the equation when solving for a variable that is cubed. 2. When you have an equation like $x^3 = a$, to solve for $x$, you need to undo the cube by taking the cubic root of both sides. 3. The formula used is: $$x = \sqrt[3]{a}$$ 4. This is because the cubic root is the inverse operation of cubing. Taking the cubic root cancels the cube, isolating the variable. 5. For example, if you have $r^3 = 27$, then: $$r = \sqrt[3]{27}$$ 6. Since $3^3 = 27$, the cubic root of 27 is 3, so $r = 3$. 7. Always remember to apply the cubic root to the entire other side of the equation to correctly solve for the variable cubed. 8. In summary, yes, you must find the cubic root of the other side to solve for a variable that is cubed.