Question

If 1+root 2 /1- root 2 + 1- root 2 / 1+ root 2 = a+ b root 2 find a and b​

Answer 1

Answer:

1 root a+b 2 root

hence we can say that 2+1 3

Answer 2

Answer:

a=3

b=-2

Step-by-step explanation:

√2-1 / √2+1 = a+b√2

[rationalize the denominator]

√2-1 / √2+1 * √2-1 / √2-1 = a+b√2

(√2-1)^2 / (√2+1) (√2-1) = a+b√2

(√2)^2 + 1^2 -2.√2.1 / (√2)^2 - 1^2 = a+b√2

2+1-2√2 / 2-1 = a+b√2

3-2√2 = a+b√2

∴a=3

 b= -2