Question

multiply. write your answer in simplest form.\\(sqrt{3} cdot sqrt{5}\\)

Explanation:

Step1: Recall the property of square roots

The property for multiplying square roots is \(\sqrt{a} \cdot \sqrt{b}=\sqrt{a\times b}\) (where \(a\geq0\) and \(b\geq0\)). Here, \(a = 3\) and \(b = 5\).

Step2: Apply the property

Substitute \(a = 3\) and \(b = 5\) into the formula: \(\sqrt{3}\cdot\sqrt{5}=\sqrt{3\times5}\)

Step3: Calculate the product inside the square root

Calculate \(3\times5 = 15\), so we get \(\sqrt{15}\).

Answer:

\(\sqrt{15}\)