Question

Please simplify this and provide an easy to understand explanation

Answer 1

As a first step we are going to operate the square power:

square power to a radical, it's equal to the same number into the radical.

`\begin{gathered} ((1)/(5))^2+((1)/(7))^2=(\sqrt[]{(74)/(35)})^2 \\ (1)/(25)+(1)/(49)=(74)/(35) \\ (74)/(1225)=(74)/(35) \\ \text{Although this statement is not true.} \end{gathered}`

If the sum of the two shorter sides (1/25 and 1/49) is greater that the length of the third side (74/35) then you can form a triangle, in this case this numbers cannot form a triangle because they don't sum more than the third side.