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Find the value of [tex]$3 \sqrt{x} + 7$[/tex] if [tex]$x=25$[/tex].

A. -8
B. 22
C. 82
D. 32


Sagot :

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].