Question

simplify.
\sqrt{20} \cdot \sqrt{5}

Explanation:

Step1: Use property of square roots

Recall that \(\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}\) for \(a \geq 0\) and \(b \geq 0\). So, \(\sqrt{20} \cdot \sqrt{5}=\sqrt{20\times5}\).

Step2: Calculate the product inside the square root

Calculate \(20\times5 = 100\). So now we have \(\sqrt{100}\).

Step3: Simplify the square root

We know that \(\sqrt{100} = 10\) because \(10\times10 = 100\).

Answer:

\(10\)