Question

If a= 3+2√2, then the value of a+ 1/a is ​

Answer 1

Answer:

a=3+2√2

1/a=1/(3+2√2)

=(3-2√2)/(3+2√2)(3-2√2)

=(3-2√2)/(3^2-2√2^2)

=(3-2√2)/(9-8)

=(3-2√2)/1

=3-2√2

so,

a+1/a

=3+2√2+3-2√2

=6