Question

go step by step to reduce the radical.
\\(\sqrt{300}\\)
\\(\sqrt{\square}\\) \\(\sqrt{\square}\\)
answer attempt 1 out of 2
you must answer all questions above in order to submit.

Explanation:

Step1: Factor 300 into a perfect square and another number

We know that \(300 = 100\times3\), where \(100\) is a perfect square. So we can rewrite \(\sqrt{300}\) as \(\sqrt{100\times3}\).

Step2: Apply the square - root property \(\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\) (\(a\geq0,b\geq0\))

Using the property \(\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\) with \(a = 100\) and \(b=3\), we get \(\sqrt{300}=\sqrt{100}\times\sqrt{3}\)

Answer:

The first box should be filled with \(100\) and the second box should be filled with \(3\). So \(\sqrt{300}=\sqrt{100}\sqrt{3}\)