Question

If x =(2+√3) ,find the value of x^2+1/x^2​

Answer 1

Answer:

14

Step-by-step explanation:

$x=2+\sqrt{3} \\\frac{1}{x} = \frac{1}{2+\sqrt{3} }= 2-\sqrt{3} \\x^{2}+\frac{1}{x} ^{2} = (x + \frac{1}{x})^{2} -2\\=4^{2} -2=14$