Question

If a = √2 +1, then find the value of a – 1/a.

Answer 1

Answer:

Solution:

Given: a = √2 + 1

1/a = 1/(√2 + 1)

= 1/(√2 + 1) x (√2 – 1)/(√2 – 1)

= (√2 – 1)/ ((√2)2 – (1)2)

= (√2 – 1)/1

= √2 – 1

Now,

a – 1/a = (√2 + 1) – (√2 – 1)

= 2

${}$

Answer 2

Answer:

Solution:

= 1/(√2 + 1) x (√2 – 1)/(√2 – 1)

= (√2 – 1)/ ((√2)2 – (1)2)

Now,

a – 1/a = (√2 + 1) – (√2 – 1)

= 2

1. ${}$

okay plz