Question

multiply. write your answer in simplest form.\\(sqrt{7} cdot sqrt{5}\\)

Explanation:

Step1: Recall the property of square roots

The property for multiplying square roots is $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$ for non - negative real numbers $a$ and $b$.
Here, $a = 7$ and $b = 5$.

Step2: Apply the property

Substitute $a = 7$ and $b = 5$ into the formula $\sqrt{a} \cdot \sqrt{b}=\sqrt{a\times b}$.
We get $\sqrt{7}\cdot\sqrt{5}=\sqrt{7\times5}=\sqrt{35}$.

Answer:

$\sqrt{35}$