All of the above really equals 42..
I'll explain the general method:
(x-y)*(x+y)=x^2-y^2
^ is for exponent
and you could ask if you encounter a problem in the solution.
(6+1.414)(6-1.414)
= (7.414)(4.586)
Ans= 34
or we can use the formula (a+b)(a-b)=a^2-b^2
=6^2-√2^2
=36-2=34
hope this helped
The long way without the shortcut given above, but it always works.(6+√2)(6-√2) = {6(6) + 6(-√2)} + [√2(6) + √2(-√2)}
Regrouping: {6(6)] + [√2(-√2)] + [6(-√2)] + [√2(6)]
Simplified: 36 -2+ 0 = 34