Question

Simplify (square root of -49/25)(square root of -1/9)

Answer 1

$$\begin{gathered} \sqrt{\frac{-49}{25}}\times \sqrt{\frac{-1}{9}} \\ =\sqrt{\frac{-49}{25}\times \frac{-1}{9}} \\ =\sqrt{\frac{49}{25\times 9}} \\ =\sqrt{\frac{7\times 7}{5\times 5\times 3\times 3}}=\frac{7}{15} \end{gathered}$$