Write T before each true statement and write F before each false statement. Then give the truth value of the conditional expressed.
If `sqrt(5)` is an integer, then 3 is an integer.

Answer

To solve the problem, we need to analyze the statements involved in the conditional expression and determine their truth values.

1. **Identify the statements:**
- Let \( p \) be the statement: "√5 is an integer."
- Let \( q \) be the statement: "3 is an integer."

2. **Determine the truth values of the statements:**
- The statement \( p \) ("√5 is an integer") is **false** because √5 is approximately 2.236, which is not an integer.
- The statement \( q \) ("3 is an integer") is **true** because 3 is indeed an integer.

3. **Write T or F before each statement:**
- For \( p \): F (false)
- For \( q \): T (true)

4. **Evaluate the conditional statement \( p \implies q \):**
- The conditional statement \( p \implies q \) (if \( p \) then \( q \)) is evaluated based on the truth values of \( p \) and \( q \).
- The truth table for a conditional statement states that it is false only when \( p \) is true and \( q \) is false. In all other cases, it is true.
- Here, \( p \) is false and \( q \) is true. Therefore, \( p \implies q \) is **true**.

5. **Final answer:**
- The truth value of the conditional statement \( p \implies q \) is **true**.

### Summary:
- \( p \): F (false)
- \( q \): T (true)
- Truth value of \( p \implies q \): T (true)