যদি, m = 7 - 4√3 হয়, তখন (√m + 1/√m) = ?

ধরি,
(√m + 1/√m) = x
Or, (√m + 1/√m)² = x²
Or, m + 1/m + 2 = x²
Or, 7 - 4√3 + 1/(7 - 4√3) + 2 = x² 
Or, 7 - 4√3 + (7 + 4√3)/(7 + 4√3)( 7 - 4√3) + 2 = x² 
Or, 7 - 4√3 + 7 + 4√3 + 2 = x² 
Or, 16 = x² 
Or, x = 4
∴ (√m + 1/√m) = 4