To solve the equation [tex]\(\sqrt{x} + 6 = 16\)[/tex], we need to isolate [tex]\(x\)[/tex]. Let's start by isolating the square root term:
1. Subtract 6 from both sides of the equation:
[tex]\[
\sqrt{x} + 6 - 6 = 16 - 6
\][/tex]
Simplifying this, we get:
[tex]\[
\sqrt{x} = 10
\][/tex]
2. To solve for [tex]\(x\)[/tex], we need to eliminate the square root. We do this by squaring both sides of the equation:
[tex]\[
(\sqrt{x})^2 = 10^2
\][/tex]
This simplifies to:
[tex]\[
x = 100
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 100 \)[/tex].
