Simplify. $$ \sqrt{2} \cdot \sqrt{3} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression $$ \sqrt{2} \cdot \sqrt{3} $$, we can use the property of square roots that states:

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

Applying this property, we have:

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

Calculating the product inside the square root:

$$
2 \cdot 3 = 6
$$

Thus, we can rewrite the expression as:

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

Therefore, the simplified form of $$ \sqrt{2} \cdot \sqrt{3} $$ is:

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

Simplify. \[ \sqrt{2} \cdot \sqrt{3} \]