Final answer:
The area of the rectangle is √15 square units.
Step-by-step explanation:
To find the area of a rectangle, you multiply the length by the width. In this case, the length is √3 and the width is √5. So the formula for the area of the rectangle is A = (√3) * (√5).
Simplifying the expression, we get A = √(3*5) = √15.
Therefore, the area of the rectangle is √15 square units.