The expression given is:

\[
\sqrt{10} + \sqrt{26}
\]

This is the sum of two square roots, and it cannot be simplified further into a more basic form using radicals. If you are looking to find a numerical approximation:

\[
\sqrt{10} \approx 3.162
\]
\[
\sqrt{26} \approx 5.099
\]

Adding these together:

\[
\sqrt{10} + \sqrt{26} \approx 3.162 + 5.099 = 8.261
\]

So, the approximate value of \( \sqrt{10} + \sqrt{26} \) is **8.261**.

Would you like any further details or have any questions?

Here are five related questions:
1. How would you calculate \( \sqrt{10} - \sqrt{26} \)?
2. What is the value of \( \sqrt{10} \times \sqrt{26} \)?
3. How can you simplify \( \sqrt{50} + \sqrt{18} \)?
4. How do you solve \( \sqrt{x} + \sqrt{26} = 10 \) for \( x \)?
5. How would you find the exact value of \( \sqrt{40} + \sqrt{10} \)?

**Tip:** When working with square roots, always check if you can simplify the radicals before proceeding with arithmetic operations.

Learn how to simplify and approximate the sum of square roots, focusing on the expression \( \sqrt{10} + \sqrt{26} \). This guide provides step-by-step instructions to calculate the numerical approximation and explains the properties of square roots. Suitable for students in Grades 9-10.

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