Chapter 1 - Section 1.3 - Operations on Real Numbers and Order of Operations - Exercise Set - Page 27: 46

$-\frac{2}{5}$

$-\sqrt \frac{4}{25}=-(\sqrt \frac{4}{25})=-(\frac{2}{5})=-\frac{2}{5}$ because $-(\frac{2}{5}^{2})=-(\frac{2}{5}\times\frac{2}{5})=-(\frac{4}{25})=-\frac{4}{25}$ Due to order of operations, we must first evaluate the square root and then consider the negative sign.