Question

PLEASE ANSWER THE FOLLOWING QUESTION..
please ... as fast as you can..
I need a correct answer with full explanation....❤ ​

Answer 1

Answer:

14

Step-by-step explanation:

x=2+√3

1/x= 1/(2+√3)

   = 1/(2+√3) * (2-√3)/(2-√3)   (rationalization)

   = (2-√3)/(4-3)=2-√3

x²+1/x²=(2+√3)²+(2-√3)²=2(2²+√3²)=2*7=14

(a+b)²+(a-b)²=2(a²+b²)