sqrt(3+2sqrt2)

Question

sir / mam,

    it said just to simplify sqrt(3+2sqrt2)

 

 

thank you

Answer 1

Recall: (a+b)^2 = a^2 + b^2 + 2ab; then a+b = sqrt(a^2+b^2+2ab)
Since you have 
sqrt (3+2sqrt(2)), this means that a^2+b^2 =3 and a*b=sqrt(2). If you solve a and b should be +/- 1 or +/-sqrt2. This means it simplifies to 1+sqrt(2). Notice the negative answer does not make sense.