To simplify the radical equation [tex]\(\sqrt{n + 9} = 1\)[/tex], follow these steps:
1. Eliminate the square root:
To remove the square root, square both sides of the equation. When you square both sides, you get:
[tex]\[
(\sqrt{n + 9})^2 = 1^2
\][/tex]
2. Simplify:
Squaring the left side of the equation eliminates the square root:
[tex]\[
n + 9 = 1
\][/tex]
3. Solve for [tex]\( n \)[/tex]:
To isolate [tex]\( n \)[/tex], subtract 9 from both sides of the equation:
[tex]\[
n + 9 - 9 = 1 - 9
\][/tex]
[tex]\[
n = -8
\][/tex]
Thus, the solution to the equation [tex]\(\sqrt{n + 9} = 1\)[/tex] is [tex]\( n = -8 \)[/tex].
