Question

If a = √2 +1 and b = c = √2-1, then find the
value of (a) (a + b)2 + (b + c)2 + (c + a) and
(b) (a - b)2 + (b - c)2 + (c - a)?​

Answer 1

Step-by-step explanation:

Given,

2

−1

2

+1

−

2

+1

2

−1

=a+

2

b

(

2

)

2

−1

2

(

2

+1)

2

−(

2

−1)

2

=a+

2

b

2−1

4.

2

.1

=a+b

2

4

2

=a+b

2

Comparing both sides we get,

a=0,b=2

2

.