1. **State the problem:** Make $x$ the subject of the formula given by $$6y = x^2$$. 2. **Recall the formula and rules:** The equation relates $x^2$ to $6y$. To isolate $x$, we need to take the square root of both sides. Remember, when taking the square root of both sides of an equation, we must consider both the positive and negative roots. 3. **Isolate $x^2$:** The equation is already in the form $$x^2 = 6y$$. 4. **Take the square root of both sides:** $$x = \pm \sqrt{6y}$$ 5. **Explain the solution:** The symbol $\pm$ means $x$ can be either positive or negative square root of $6y$. This is because squaring either a positive or negative number results in the same positive value. **Final answer:** $$x = \pm \sqrt{6y}$$