Question

if x=7+√40 find the value of √x+1/√x​

Answer 1

x=7+√40,

1/x=1/(7+√40)=(7-√40)/(7+√40)(7-√40)=

(7-√40)/(49-40)=(7-√40)/9

(√x+1/√x)²=x+1/x +2

=7+√40 +(7-√40)/9 +2

=(63+9√40+7-√40+18)/9

=(88+8√40)/9

• =8(11+√40)/9

√x+1/√x=2√{2(11+√40)}/3