Questions: Solve for q. √3 q + 2 = √5

Transcript text: Solve for q. \[ \sqrt{3} q+2=\sqrt{5} \]

Solution

Solution Steps

To solve for \( q \), we need to isolate it on one side of the equation. Start by subtracting 2 from both sides to get the term with \( q \) by itself. Then, divide both sides by \( \sqrt{3} \) to solve for \( q \).

Step 1: Isolate the Term with \( q \)

Starting with the equation: \[ \sqrt{3} q + 2 = \sqrt{5} \] we subtract 2 from both sides: \[ \sqrt{3} q = \sqrt{5} - 2 \]

Step 2: Solve for \( q \)

Next, we divide both sides by \( \sqrt{3} \): \[ q = \frac{\sqrt{5} - 2}{\sqrt{3}} \]

Step 3: Calculate the Value of \( q \)

Evaluating the expression gives: \[ q \approx 0.1363 \]

Final Answer

Thus, the solution for \( q \) is: \[ \boxed{q \approx 0.1363} \]

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