Question

solve for t.
7 = \sqrt{t - 5}

t = \square

submit

Explanation:

Step1: Square both sides to eliminate the square root

To solve for \( t \) in the equation \( 7 = \sqrt{t - 5} \), we first square both sides of the equation. Squaring the left side gives \( 7^2 \), and squaring the right side gives \( (\sqrt{t - 5})^2 \). So we have:
\( 7^2 = (\sqrt{t - 5})^2 \)
\( 49 = t - 5 \)

Step2: Solve for t by adding 5 to both sides

To isolate \( t \), we add 5 to both sides of the equation:
\( 49 + 5 = t - 5 + 5 \)
\( 54 = t \)

Answer:

\( t = 54 \)