Resposta:
1.
[tex] \frac{ \sqrt{6} }{21} [/tex]
2.
[tex] \frac{ \sqrt{14} }{4} [/tex]
Explicação passo-a-passo:
1.
[tex] \frac{ \sqrt{2} }{7 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt{2} \sqrt{3} }{7 \sqrt{3} \sqrt{3} } = \\ \frac{ \sqrt{2 \times 3} }{7 \sqrt{3 \times 3} } = \frac{ \sqrt{6} }{7 \sqrt{9} } = \frac{ \sqrt{6} }{7 \times 3} = \\ \frac{ \sqrt{6} }{21} [/tex]
2.
[tex] \frac{ \sqrt{7} }{2 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \\ \frac{ \sqrt{14} }{2 \sqrt{4} } = \frac{ \sqrt{14} }{4} [/tex]
