Answer:
The correct answer is the second option: [tex]s=\sqrt{\frac{R-3}{t}}[/tex]
Step-by-step explanation:
The idea is to get the variable [tex]s[/tex] for alone on one side. To do that follows the following steps:
1. Pass the number [tex]3[/tex] to subtract to the left.
[tex]R=t\cdot s^2+3[/tex]
[tex]R-3=t\cdot s^2[/tex]
2. Pass the letter [tex]t[/tex] to divide to the left side.
[tex]\frac{R-3}{t}=s^2[/tex]
3. Take the squared root on both sides.
[tex]\sqrt{\frac{R-3}{t}}=\sqrt{s^2}[/tex]
4. The right part can be simplified to [tex]s[/tex] because the power and the root are canceled.
[tex]\sqrt{\frac{R-3}{t}}=s[/tex]
5. The solution of the equations is:
[tex]s=\sqrt{\frac{R-3}{t}}[/tex]
Thus, the correct answer is the second option: [tex]s=\sqrt{\frac{R-3}{t}}[/tex]
