Answer:
[tex]q = 0.0186[/tex]
Step-by-step explanation:
To solve for q, we initially place everything with the term q to one side of the equality, and everything without the term q to the other side of the equality.
So
[tex]\sqrt{3q} + 2 = \sqrt{5}[/tex]
[tex]\sqrt{3q} = \sqrt{5} - 2[/tex]
We find the square of both sides of the equation. So
[tex](\sqrt{3q})^{2} = (\sqrt{5} - 2)^{2}[/tex]
[tex]3q = 0.0557[/tex]
[tex]q = \frac{0.0557}{3}[/tex]
[tex]q = 0.0186[/tex]