Express [1+4(square root)7] /[ 5+ 2(square root)7] in the form m + n (square root)7 , where m and n are integers.

Using a whiteboard would help greatly with this question so that the steps can be seen clearly.1) Multiply both the numerator and the denominator by 5 - 2(square root)7 2) FOIL the top half of the equation to give 5 + 20(square root)7 -2(square root)7 -563) FOIL the denominator to give 25 + 10(square root)7 - 10(square root 7) - 284) Simplify the denominator to -35) Simplify further to give a final answer of 17-6(square root)7