Question

solve for f.
-8 = -15 + \sqrt{2 + f}

f = \square

Explanation:

Step1: Isolate the square root term

Add 15 to both sides of the equation:
\(-8 + 15=-15 + 15+\sqrt{2 + f}\)
\(7=\sqrt{2 + f}\)

Step2: Eliminate the square root

Square both sides of the equation:
\(7^{2}=(\sqrt{2 + f})^{2}\)
\(49 = 2 + f\)

Step3: Solve for \(f\)

Subtract 2 from both sides:
\(49-2=2 - 2+f\)
\(47=f\)

Answer:

\(47\)