Question 65697
Find the length of X, simplify the radical expression:

I will try to draw out the triangle:

                               =
                             = =
                           =   =
                  10     =     =
                       =       =   X
                     =         =
                   =           =
                 =           ===
               =             = =
             ===================
                     8

This looks like a right triangle, we can use the pythagorean theorem: {{{c^2=a^2+b^2}}}, c=hypotenuse, a and b are legs.
c=10, a=x and b=8
{{{10^2=x^2+8^2}}}
{{{100=x^2+64}}}
{{{100-64=x^2+64-64}}}
{{{36=x^2}}}
{{{sqrt(36)=sqrt(x^2)}}}
{{{6=x}}}
{{{highlight(x=6)}}}
Happy Calculating!!!