Question

if a = 1-√2 , find the value of (a-1/a) root 2​

Answer 1

Answer:

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Answer 2

Answer:

1/a =

$1 \div (1 - \sqrt{2}) \times( 1 + \sqrt{2}) \div (1 + \sqrt{2} )$

1 + root2 / 1²- 2

-(1+root2)

-1 - root2

Now,

(a-1/a)× root 2 = 1- root2 - ( -1 - root2) × root2

= 1 - root2 + 1 + root2 × root2

= 2root2