To solve the given problem, we need to find the value of the expression [tex]\( 3 \sqrt{x} + 7 \)[/tex] when [tex]\( x = 25 \)[/tex].
1. First, substitute [tex]\( x = 25 \)[/tex] into the expression:
[tex]\[ 3 \sqrt{x} + 7 \][/tex]
becomes
[tex]\[ 3 \sqrt{25} + 7 \][/tex]
2. Next, calculate the square root of 25. The square root of 25 is:
[tex]\[ \sqrt{25} = 5 \][/tex]
3. Substitute [tex]\( \sqrt{25} \)[/tex] back into the expression:
[tex]\[ 3 \cdot 5 + 7 \][/tex]
Simplify the multiplication:
[tex]\[ 15 + 7 \][/tex]
4. Finally, add 15 and 7:
[tex]\[ 15 + 7 = 22 \][/tex]
So, the value of [tex]\( 3 \sqrt{25} + 7 \)[/tex] is [tex]\( 22 \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{22} \][/tex]
