Find the sum of square root of, 3, end square root3​ and 5, square root of, 10, end square root510​ in simplest form. 

We need to find the sum of two square roots, \( \sqrt{3} \) and \( 5\sqrt{10} \), and express it in its simplest form.

\[
\text{Sum} = \sqrt{3} + 5\sqrt{10}
\]

There are no like terms between \( \sqrt{3} \) and \( 5\sqrt{10} \), so the expression is already in its simplest form. Therefore, the sum is:

\[
\sqrt{3} + 5\sqrt{10}
\]

This is the final answer.

Would you like to see more details or have any questions?

Here are 5 related questions for further practice:
1. Simplify \( 2\sqrt{5} + 3\sqrt{5} \).
2. Find the sum of \( \sqrt{2} \) and \( 4\sqrt{8} \).
3. Simplify \( 7\sqrt{6} - 3\sqrt{6} \).
4. Add \( 2\sqrt{7} + \sqrt{28} \) and simplify.
5. Calculate \( \sqrt{12} + \sqrt{27} \) and simplify.

**Tip:** When adding or subtracting square roots, you can only combine terms with the same radical (i.e., the same number inside the square root).

Find the sum of square root of 3 and 5 square root of 10 in simplest form.

Learn how to simplify the sum of √3 and 5√10. This problem involves adding radicals and applying the rules of simplifying square root expressions. Perfect for students in Grades 8-10 looking to practice algebraic concepts.

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