Multiply. Write your answer in simplest form. $$ \sqrt{2} \cdot \sqrt{3} $$

Question

UpStudy AI · Accepted Answer

To multiply the square roots $$ \sqrt{2} $$ and $$ \sqrt{3} $$, you can use the property of square roots that states:

$$
\sqrt{a} \cdot \sqrt{b} = \sqrt{a \times b}
$$

Applying this property:

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

The expression $$ \sqrt{6} $$ is already in its simplest form because 6 cannot be factored into any perfect squares other than 1.

**Final Answer:**

$$
\sqrt{6}
$$
The product of $$ \sqrt{2} $$ and $$ \sqrt{3} $$ is $$ \sqrt{6} $$.

Multiply. Write your answer in simplest form.