The expression $\sqrt{2} \times \sqrt{3}$ can be simplified by multiplying the numbers inside the square roots:

$\sqrt{2} \times \sqrt{3} = \sqrt{2 \times 3} = \sqrt{6}$

Thus, the simplified form is $\sqrt{6}$.

Would you like more details or have any questions about this?

Here are five related questions for further practice:

1. What is $\sqrt{2} \times \sqrt{5}$?
2. Simplify $\sqrt{8} \times \sqrt{2}$.
3. Multiply $\sqrt{7} \times \sqrt{7}$.
4. What is the value of $\sqrt{4} \times \sqrt{9}$?
5. Can you simplify $\sqrt{12} \times \sqrt{3}$?

Tip: When multiplying square roots, you can combine them under a single square root if both are positive numbers!