Question

simplifying non - perfect square roots. use a calculator to make sure your answer evaluates to the same number as √28. not quite check

Explanation:

Step1: Factorize 28

Find the prime - factors of 28. We know that \(28 = 4\times7\).

Step2: Apply square - root property

Using the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (\(a = 4\), \(b = 7\) and \(a\geq0,b\geq0\)), we have \(\sqrt{28}=\sqrt{4\times7}=\sqrt{4}\times\sqrt{7}\).

Step3: Simplify \(\sqrt{4}\)

Since \(\sqrt{4}=2\), then \(\sqrt{28}=2\sqrt{7}\).

Answer:

\(2\sqrt{7}\)