Answer:
Answer: B. It is a perfect square
Step-by-step explanation:
Radical Expressions
Melissa multiplied [tex]\sqrt{a}[/tex] and [tex]\sqrt{b}[/tex] and got a rational number.
We are also given that a and b are both natural numbers. It means their product must be not only rational but also a natural number.
We can write that product like:
[tex]\sqrt{a} \cdot \sqrt{b}=\sqrt{a\cdot b}[/tex]
If the result is a natural number, then the product of a and b must be a perfect square. so the radical disappears.
Answer: B. It is a perfect square
