[tex]\displaystyle \frac{\sqrt{10,89}+\sqrt{2,25}}{\sqrt{84,64 }-\sqrt{46,24}}[/tex]
Vamos colocar todos os números em forma de fração
[tex]\displaystyle \frac{\displaystyle \sqrt{\frac{1089}{100}}+\sqrt{\frac{225}{100}}}{\displaystyle \sqrt{\frac{8464}{100} }-\sqrt{\frac{4624}{00}}}[/tex]
Agora só partir pro abraço, tira a raiz quadrada de todos os números.
[tex]\displaystyle \sqrt{{\frac{1089}{100}}} = \frac{33}{10}[/tex]
[tex]\displaystyle \sqrt{\frac{225}{100}} = \frac{15}{10}[/tex]
[tex]\displaystyle \sqrt{\frac{8464}{100}} =\frac{92}{10}[/tex]
[tex]\displaystyle \sqrt{\frac{4624}{100}} = \frac{68}{10}[/tex]
Substituindo :
[tex]\displaystyle \frac{\displaystyle \frac{33}{10} +\frac{15}{10}}{\displaystyle \frac{92}{10}-\frac{68}{10}} \to \frac{\displaystyle \frac{33+15}{10}}{\displaystyle \frac{92-68}{10}} \to \frac{\displaystyle \frac{48}{10}}{\displaystyle \frac{24}{10}} \to \frac{48}{24}[/tex]
[tex]\displaystyle \frac{48}{24} = 2[/tex]
Portanto :
[tex]\huge\boxed{\displaystyle \frac{\sqrt{10,89}+\sqrt{2,25}}{\sqrt{84,64 }-\sqrt{46,24}} = 2}\checkmark[/tex]
Letra A
