Question

1. 0/1 points details my notes previc evaluate the square root without using a calculator. \\(\sqrt{\frac{4}{81}}\\) 20.25 × suggested tutorial: learn it: find the square root of a perfect squa

Explanation:

Step1: Recall square root property

For a fraction \(\frac{a}{b}\) (where \(a,b\geq0\) and \(b
eq0\)), \(\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}\). So, \(\sqrt{\frac{4}{81}}=\frac{\sqrt{4}}{\sqrt{81}}\).

Step2: Calculate square roots

We know that \(\sqrt{4} = 2\) (since \(2\times2 = 4\)) and \(\sqrt{81}=9\) (since \(9\times9 = 81\)). Then \(\frac{\sqrt{4}}{\sqrt{81}}=\frac{2}{9}\).

Answer:

\(\frac{2}{9}\)