Question

if x= √3+1 find the value of (x+2/x)²
please solve this question...

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Answer 1

Answer:

Step-by-step explanation:

Refer the attachment...

Answer 2

x=2+√3

1/x=1/2+√3

=1*(2-√3)/(2+√3)/(2-√3)

=(2-√3)/(2^2-√3^2)

=(2-√3)/4-3

=(2-√3)

Therefore,

x^2=(2+√3)

=(2)^2+(√3)^2+2*2*(√3)

=4+3+4√3

=7+4√3

1/x^2=(2-√3)^2

=(2)^2+(√3)^2-2*2*√3

=4+3-4√3

=7-4√3

x^2+1/x^2

=(7+4√3)+(7-4√3)

=7+4√3+7-4√3

=7+7+4√3-4√3

=14

I hope it's helpful for you...