The expression you provided is:

$\sqrt{27} + \sqrt{75}$

To simplify, we first break down the square roots:

$\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}$ $\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}$

Now we add them together:

$\sqrt{27} + \sqrt{75} = 3\sqrt{3} + 5\sqrt{3} = (3 + 5)\sqrt{3} = 8\sqrt{3}$

Thus, the simplified form is:

$8\sqrt{3}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you simplify square roots of non-perfect squares?
2. What are the rules for adding radical expressions?
3. How can you factor out a common square root from an expression?
4. What is the value of $\sqrt{3}$ in decimal form?
5. How do you simplify a difference involving square roots?

Tip: When simplifying square roots, always look for perfect squares that you can factor out.