3.
a) [tex]\it \sqrt{1 \frac{9}{16} } = \sqrt{\frac{25}{16} } = \frac{\sqrt{25} }{\sqrt{16} } = \frac{5}{4}[/tex]
b) [tex]\it \sqrt{3 \frac{6}{25} } = \sqrt{\frac{81}{25} } = \frac{\sqrt{81} }{\sqrt{25} } = \frac{9}{5}[/tex]
c) [tex]\it \sqrt{1 \frac{13}{36} } = \sqrt{\frac{49}{36} } = \frac{\sqrt{49} }{\sqrt{36} } = \frac{7}{6}[/tex]
d) [tex]\it \sqrt{\frac{64}{3^{2} \cdot 25} } = \frac{8}{3 \cdot 5} = \frac{8}{15}[/tex]
e) [tex]\it \sqrt{\frac{144}{3^{3} \cdot 75} } = \frac{12}{3\sqrt{3} \cdot 5\sqrt{3} } = \frac{12}{15 \cdot 3} = \frac{12}{45}^{(3} = \frac{4}{15}[/tex]
f) [tex]\it \sqrt{\frac{361}{7^{2} \cdot 9^{4} } } = \frac{19}{7 \cdot 9^{2} } = \frac{19}{7 \cdot 81} = \frac{19}{567}[/tex]
