To determine the value of [tex]\( 3 \sqrt{x} + 7 \)[/tex] for [tex]\( x = 25 \)[/tex], we will follow these steps:
1. Determine the Square Root of [tex]\( x \)[/tex]:
- Start by finding the square root of [tex]\( x \)[/tex]. In this case, [tex]\( x = 25 \)[/tex].
- The square root of [tex]\( 25 \)[/tex] is [tex]\( 5 \)[/tex], because [tex]\( 5 \times 5 = 25 \)[/tex].
2. Multiply the Square Root by 3:
- Next, take the result from the first step and multiply it by 3.
- [tex]\( 3 \times 5 = 15 \)[/tex].
3. Add 7 to the Result:
- Finally, add 7 to the result obtained in step 2.
- [tex]\( 15 + 7 = 22 \)[/tex].
Thus, the value of [tex]\( 3 \sqrt{x} + 7 \)[/tex] when [tex]\( x = 25 \)[/tex] is [tex]\( 22 \)[/tex].
The correct answer is [tex]\( B) 22 \)[/tex].
