To solve the equation [tex]\(\sqrt{x - 3} = 5\)[/tex], follow these steps:
1. Isolate the square root term:
Since the equation is already in the form [tex]\(\sqrt{x - 3} = 5\)[/tex], proceed to the next step.
2. Eliminate the square root by squaring both sides:
[tex]\[
(\sqrt{x - 3})^2 = 5^2
\][/tex]
When you square both sides, the result is:
[tex]\[
x - 3 = 25
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], add 3 to both sides of the equation:
[tex]\[
x - 3 + 3 = 25 + 3
\][/tex]
Simplifying this, you get:
[tex]\[
x = 28
\][/tex]
So, the value of [tex]\(x\)[/tex] is [tex]\(28\)[/tex].
Therefore, the correct answer is D. 28
