Question

qual a forma simplificada da fração √28 / √26 + √175 / √ 63

Answer 1

Observe que:

 

$\sqrt{28}=\sqrt{2^2\cdot7}=2\sqrt{7}$

 

$\sqrt{175}=\sqrt{5^2\cdot7}=5\sqrt{7}$

 

$\sqrt{63}=\sqrt{3^2\cdot7}=3\sqrt{7}$

 

Logo:

 

$\dfrac{\sqrt{28}}{\sqrt{26}}+\dfrac{\sqrt{175}}{\sqrt{63}}=\dfrac{2\sqrt{7}}{\sqrt{26}}+\dfrac{5\sqrt{7}}{3\sqrt{7}}=\dfrac{2\sqrt{7}}{\sqrt{26}}+\dfrac{5}{3}=\dfrac{6\sqrt{7}+5\sqrt{26}}{3\sqrt{26}}$