Question

simplify.
\\(\sqrt{\dfrac{25}{36}}\\)
be sure to write your answer in simplest form.

Explanation:

Step1: Apply square - root property

We know that for non - negative real numbers \(a\) and \(b\) (where \(b
eq0\)), \(\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\). So, for \(\sqrt{\frac{25}{36}}\), we can rewrite it as \(\frac{\sqrt{25}}{\sqrt{36}}\).

Step2: Calculate square roots

We know that \(\sqrt{25} = 5\) because \(5\times5 = 25\), and \(\sqrt{36}=6\) because \(6\times6 = 36\). So, \(\frac{\sqrt{25}}{\sqrt{36}}=\frac{5}{6}\).

Answer:

\(\frac{5}{6}\)