The given expression is:

\[
\frac{6}{4} + \sqrt{15}
\]

### Simplifying:

1. Simplify \(\frac{6}{4}\):
   \[
   \frac{6}{4} = 1.5
   \]

2. The expression becomes:
   \[
   1.5 + \sqrt{15}
   \]

Since \(\sqrt{15}\) is an irrational number, its approximate value is:
\[
\sqrt{15} \approx 3.872
\]

### Final Answer:
\[
1.5 + 3.872 = 5.372
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the square root of other non-perfect squares, such as \(\sqrt{14}\) or \(\sqrt{17}\)?
2. How do we handle irrational numbers in equations?
3. Can the square root of any non-perfect square be simplified?
4. What are the rules for combining rational and irrational numbers?
5. How do you simplify fractional expressions before adding them?

**Tip**: Always simplify fractions or surds before performing addition for cleaner results.

Understand how to simplify the expression 6/4 + \(\sqrt{15}\) by converting the fraction to decimal form and approximating the square root of 15. This problem covers key concepts such as fractions, square roots, and the addition of rational and irrational numbers. Suitable for students in Grades 6-8.

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