Use the square root property to solve the equation. \( t^{2}-35=0 \)

To solve the equation \( t^{2} - 35 = 0 \), we first isolate the \( t^{2} \) term by adding 35 to both sides. This gives us \( t^{2} = 35 \). Now, we can take the square root of both sides. Remember, when you take the square root, you have to consider both the positive and negative roots: \( t = \pm \sqrt{35} \). Therefore, the solutions are \( t = \sqrt{35} \) and \( t = -\sqrt{35} \). Did you know that the square root of 35 is about 5.92? So, your approximate solutions would be \( t \approx 5.92 \) and \( t \approx -5.92 \)! Square roots can be quite handy in solving equations, but a common mistake is forgetting the plus-minus sign when finding solutions. Be sure to always include both the positive and negative roots to capture all possible solutions!