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The equation given is \( y = \sqrt{x + 14} \), and you have provided \( x = 2 \).

Let's calculate the value of \( y \):

\[
y = \sqrt{x + 14}
\]

Substituting \( x = 2 \) into the equation:

\[
y = \sqrt{2 + 14}
\]

Simplifying inside the square root:

\[
y = \sqrt{16}
\]

Since \( \sqrt{16} = 4 \):

\[
y = 4
\]

Thus, when \( x = 2 \), the value of \( y \) is \( y = 4 \).

Would you like more details or have any additional questions? Here are some related questions to explore:

1. What is the domain of the function \( y = \sqrt{x + 14} \)?
2. How does the graph of \( y = \sqrt{x + 14} \) look like, and what are its key features?
3. What happens if you change the equation to \( y = \sqrt{x - 14} \)?
4. How does the value of \( y \) change as \( x \) increases?
5. What is the range of the function \( y = \sqrt{x + 14} \)?

**Tip:** The square root function \( y = \sqrt{x + 14} \) is only defined for values of \( x \) where \( x + 14 \geq 0 \), meaning \( x \geq -14 \).

Explore how to calculate the value of y in the square root function y = sqrt(x + 14) when x = 2. Follow a step-by-step solution including the square root formula. Suitable for high school students and anyone interested in understanding square root functions.

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