As raízes quadradas das questões acima são :
a ) [tex]\\ \boxed{ \boxed{ \dfrac{7}{5} }}[/tex]
b ) [tex]\\ \boxed{\boxed{ - \sqrt{\dfrac{11}{10} } }}[/tex]
c ) [tex]\\ \boxed{\boxed{ \dfrac{2}{3} }}[/tex]
a ) [tex]\\ \sqrt{\dfrac{49}{25} } \ =\ \boxed{ \dfrac{7}{5} }[/tex]
[tex]\\ \begin{array}{r|l}49&7\\7&7\\1&\\&\\\end{array} \ \ \ \ \begin{array}{r|l}25&5\\5&5\\1&\\&\\\end{array}[/tex]
b ) [tex]\\ - \sqrt{\dfrac{121}{100} } \ =\ \boxed{ - \dfrac{11}{10} }[/tex]
[tex]\\ \begin{array}{r|l}121&11\\ 11&11\\1&1\\&\\\end{array} \ \ \ \ \begin{array}{r|l}100&2\\50&2\\25&5\\5&5\\1\end{array}[/tex]
[tex]\\ \sqrt{121} \ =\ \sqrt{11^2} \ = 11 \ \ \ \ \sqrt{100} \ =\ \sqrt{2^2\ .\ 5^2 } \ =\ 2\ .\ 5\ =\ 10[/tex]
c ) [tex]\\ ^4\sqrt{\dfrac{16}{81} } \ =\ \boxed{ \dfrac{2}{3} }[/tex]
[tex]\\ \begin{array}{r|l}16&2\\8&2\\4&2\\2&2\\1\end{array} \ \ \ \ \ \ \begin{array}{r|l}81&3\\27&3\\9&3\\3&3\\1\end{array}[/tex]
[tex]\\ ^4 \sqrt{16} \ =\ ^4 \sqrt{2^4} \ =\ 2 \ \ \ ^4\sqrt{81} \ =\ \sqrt{3^4} \ =\ 3[/tex]
Ex ; [tex]\\ \sqrt{-\ 25 }[/tex] , [tex]\\ \sqrt{- 49}[/tex]
Ex : [tex]\\ - \sqrt{25} \ =\ -\ 5[/tex], [tex]\\ -\sqrt{49} \ =\ -\ 7[/tex], [tex]\\ - \sqrt{121} \ =\ -\ 11[/tex]
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