Question

if a= √2+1 then find a-1/a

Answer 1

a =√2 + 1

1/a = 1/(√2 +1)

By rationalization,

1/a = (√2-1)/{(√2)²-1¹}

1/a = (√2-1)/(2-1)

1/a = (√2-1)/1

1/a = √2 -1

================

Then,


√2 +1 -(√2 -1)

√2 + 1 -√2+1

2√2


I hope this will help you

-by ABHAY

Answer 2

Hey dear here is ur answer *******
__________________


a=√2+1,

then,

1/a=1/(√2+1)

=(√2-1)/(√2+1)(√2-1)

=(√2-1)

So,a-1/a=√2+1-(√2-1)

=2[Ans.]

Hope it will help u@#@@#@@