The expression provided is:

$\sqrt{12} + \sqrt{27} - \sqrt{3}$

Let's simplify it step by step.

1. Simplify each square root:

• $\sqrt{12}$ can be simplified as: $\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}$

• $\sqrt{27}$ can be simplified as: $\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}$

• $\sqrt{3}$ remains as is because it cannot be simplified further.

2. Substitute the simplified square roots:

$2\sqrt{3} + 3\sqrt{3} - \sqrt{3}$

3. Combine like terms (since all terms are in terms of $\sqrt{3}$):

$(2 + 3 - 1)\sqrt{3} = 4\sqrt{3}$

Thus, the simplified result is:

$4\sqrt{3}$

Do you have any questions or would you like further details?

Here are 5 related questions:

1. How do you simplify square roots involving prime factors?
2. Can all square roots be simplified like the ones above?
3. What is the process to add or subtract terms with square roots?
4. How do you rationalize square roots in the denominator?
5. What is the difference between simplifying and approximating square roots?

Tip: Always look for perfect squares when simplifying square roots; it makes the process easier!