Express in simplest radical form.
4, square root of, 6, end square root, plus, 10, square root of, 6, end square root
4 
6
​	
 +10

To simplify the expression \(4 \sqrt{6} + 10 \sqrt{6}\), we can combine the like terms. Since both terms have the square root of 6, we can factor out \(\sqrt{6}\).

### Step-by-Step Solution

1. **Identify like terms:**

   The expression is:
   \[
   4 \sqrt{6} + 10 \sqrt{6}
   \]

   Both terms contain \(\sqrt{6}\).

2. **Combine like terms:**

   Factor out the common term \(\sqrt{6}\):
   \[
   (4 + 10) \sqrt{6}
   \]

   Simplify inside the parentheses:
   \[
   14 \sqrt{6}
   \]

### Final Answer

The expression in its simplest radical form is:

\[
\boxed{14 \sqrt{6}}
\]

Would you like more details or have any other questions?

### Related Questions

1. How do you simplify expressions involving square roots?
2. What are like terms in radical expressions?
3. How can we multiply and divide expressions with square roots?
4. What is the process for rationalizing the denominator of a radical expression?
5. How do you add or subtract radicals with different square roots?

**Tip:** When adding or subtracting square roots, always look for like terms—terms that have the same radical part.

Express in simplest radical form: 4√6 + 10√6

Learn how to simplify the radical expression 4√6 + 10√6 by combining like terms. This step-by-step guide breaks down the process of simplifying radicals and is ideal for students in Grades 8-10.

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