1. **Stating the problem:** Rearrange the equation $$\sqrt{\frac{m}{p}} = c$$ to make (a) $$m$$ the subject and (b) $$p$$ the subject. 2. **Recall the formula and rules:** The square root means the power of $$\frac{1}{2}$$, so to remove the square root, square both sides. Also, when rearranging formulas, isolate the variable of interest by performing inverse operations. ### Part (a): Make $$m$$ the subject 3. Square both sides to remove the square root: $$\left(\sqrt{\frac{m}{p}}\right)^2 = c^2$$ $$\frac{m}{p} = c^2$$ 4. Multiply both sides by $$p$$ to isolate $$m$$: $$m = p \times c^2$$ ### Part (b): Make $$p$$ the subject 5. Start again from the squared form: $$\frac{m}{p} = c^2$$ 6. Multiply both sides by $$p$$: $$m = p \times c^2$$ 7. Divide both sides by $$c^2$$ to isolate $$p$$: $$p = \frac{m}{c^2}$$ **Final answers:** - (a) $$m = p c^2$$ - (b) $$p = \frac{m}{c^2}$$