Question

If a=√2+1/√2-1,
b=√2-1/√2+1
Then prove that
a²+ab+b²=35

Answer 1

Answer:

Step-by-step explanations

/*Rationalising the denominator ,we get

/*By algebraic identities:

i) (x+y)²=x²+y²+2xy

ii) (x-y)(x+y)=x²-y² */

/*Rationalising the denominator ,we get

/*By algebraic identities:

i) (x-y)²=x²+y²-2xy

2xyii) (x-y)(x+y)=x²-y² */

/* From (3) and (4)*/