Question

simplify the radical.
\sqrt{20} = \square

Explanation:

Step1: Factor the radicand

Factor 20 into a product of a perfect square and another number: \(20 = 4\times5\)

Step2: Use the property of square roots

Use the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (where \(a = 4\), \(b = 5\)): \(\sqrt{20}=\sqrt{4\times5}=\sqrt{4}\times\sqrt{5}\)

Step3: Simplify the perfect square root

Since \(\sqrt{4} = 2\), we have \(\sqrt{20}=2\sqrt{5}\)

Answer:

\(2\sqrt{5}\)