Question

2 fill in the blank 0.5 points simplify, if necessary round to the nearest hundredth \\(\sqrt{0.25}\\) type your answer...

Explanation:

Step1: Recall square root of perfect square

We know that \(0.25=\frac{25}{100}\), and we recall that \(\sqrt{\frac{25}{100}}\) can be simplified using the property \(\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\) for \(a\geq0,b > 0\).

Step2: Calculate the square root

We know that \(\sqrt{25} = 5\) and \(\sqrt{100}=10\), so \(\sqrt{\frac{25}{100}}=\frac{\sqrt{25}}{\sqrt{100}}=\frac{5}{10} = 0.5\). Also, \(0.5\) is already to the nearest hundredth (or we can think of it as \(0.50\) when considering hundredths place, but \(0.5\) is equivalent).

Answer:

\(0.5\)