Question

multiply. write your answer in simplest form\\(\sqrt{5} \cdot \sqrt{2}\\)

Explanation:

Step1: Recall the property of square roots

The property for multiplying square roots is $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ where $a\geq0$ and $b\geq0$.

Step2: Apply the property to the given problem

For $\sqrt{5} \cdot \sqrt{2}$, we apply the property: $\sqrt{5} \cdot \sqrt{2}=\sqrt{5\times2}$

Step3: Simplify the product inside the square root

Calculate $5\times2 = 10$, so $\sqrt{5\times2}=\sqrt{10}$

Answer:

$\sqrt{10}$