Question

If a = 5 + 2√3 and a = 1/b , then what will be the value of a^2 + b^2

Answer 1

Answer:as given a=5+2√3,b=1/a

a^2+b^2=a^2+1/a^2

=(5+2√3)^2+1/(5+2√3)^2

=(37+20√3)+1/(37+20√3)

={37^2+(20√3)^2+2×37×20√3+1}/37+20√3

=2620+248√3/2619+248√3

=1 (approx)

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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