Answer :

To determine the value of [tex]\(x\)[/tex] in the equation:

[tex]\[ x \times \sqrt{9} = 3 \][/tex]

we need to solve for [tex]\(x\)[/tex] step-by-step.

1. Simplify [tex]\(\sqrt{9}\)[/tex]:
[tex]\[ \sqrt{9} = 3 \][/tex]

So, the equation becomes:
[tex]\[ x \times 3 = 3 \][/tex]

2. Isolate [tex]\(x\)[/tex] by dividing both sides of the equation by 3:
[tex]\[ x = \frac{3}{3} \][/tex]

3. Simplify the right-hand side:
[tex]\[ x = 1 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] is [tex]\(\boxed{1}\)[/tex].

Out of the given options:
a. 1
b. 3
c. 4
d. 2

The correct answer is:
a. 1