Given the equation:
[tex]E=mc^2[/tex]To solve for c.
First step:
Divide both sides by m
[tex]\begin{gathered} \frac{E}{m}=\frac{mc^2}{m} \\ \\ \frac{E}{m}=c^2 \end{gathered}[/tex]Second step:
Take the square root of both sides
[tex]\begin{gathered} \sqrt[]{\frac{E}{m}}=\sqrt[]{c^2}^{} \\ \\ \sqrt[]{\frac{E}{m}}=c \\ \\ c\text{ = }\sqrt[]{\frac{E}{m}} \end{gathered}[/tex]ANSWER:
[tex]c\text{ = }\sqrt[]{\frac{E}{m}}[/tex]