Question

If a = √2+1 and b =√2-1 then the
value of expression a^2 - ab +b^2 / a^2 + ab +b^2 is ?​

Answer 1

Step-by-step explanation:

a^2-ab+b^2

_________

a^2+ab+b^2

a^2=(sqrt2 +1)^2= 2+1+2sqrt 2 = 3 +2sqrt2

b^2=(sqrt2 -1)^2=2+1-2sqrt2= 3-2sqrt2

ab=(sqrt2+1)(sqrt2-1)= 2-1=1

a^2-ab+b^2= 3+2sqrt2 +3-2sqrt2-1=5

a^2+ab+b^2=3+2sqrt + 3 -2sqrt2+1=7

5/7

hope this helps