Example  1
Verify.

  1. \(\left( { - 8} \right)^2 = 8^2\)

    Evaluate both sides of the equation and see if they equal one another.

    \(\begin{align}
     \left( { - 8} \right)^2 &= 8^2  \\ 
     64 &= 64 \\ 
     {\rm{LS}} &= {\rm{RS}} \\ 
     \end{align}\)

    Since the left side (LS) is equal to the right side (RS), this equation is verified.


  2. \(\sqrt {16^2 } \ne \pm 16\)

    Evaluate both sides of the inequation and see if they do not equal one another.

    \(\begin{align}
     \sqrt {16^2 } &\ne \pm 16 \\ 
     16 &\ne \pm 16 \\ 
     {\rm{LS}} &\ne {\rm{RS}} \\ 
     \end{align}\)

    Since the left side (LS) is not equal to the right side (RS), the original inequation is satisfied and verified.