Bonjour
62)
a.
[tex] \sqrt{ \frac{5}{16} } = \frac{ \sqrt{5} }{ \sqrt{16} } = \frac{ \sqrt{5} }{ \sqrt{ {4}^{2} } } = \frac{ \sqrt{5} }{4} = \frac{1}{4} \sqrt{5} [/tex]
b.
[tex] \sqrt{ \frac{24}{2} } = \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = \sqrt{ {2}^{2} } \times \sqrt{3} = 2 \times \sqrt{3} = 2 \sqrt{3} [/tex]
c.
[tex] \frac{ \sqrt{2} }{ \sqrt{9} } = \frac{ \sqrt{2} }{ \sqrt{ {3}^{2} } } = \frac{ \sqrt{2} }{3} = \frac{1}{3} \sqrt{2} [/tex]
d.
[tex] \frac{ \sqrt{15} }{ \sqrt{20} } = \sqrt{ \frac{15}{20} } = \sqrt{ \frac{3}{4} } = \frac{ \sqrt{3} }{ \sqrt{4} } = \frac{ \sqrt{3} }{ \sqrt{ {2}^{2} } } = \frac{ \sqrt{3} }{2 } = \frac{1}{2} \sqrt{3} [/tex]
