Question

If a=2+√3, then find a2

+1/a2

.​

Answer 1

Answer:

14

Step-by-step explanation:

a∧2+1/a∧2 = (a+1/a)∧2 -2

1/a=1/(2+√3)

rationalising with 2-√3

⇒2-√3/(4-3)

=2-√3

a+1/a =(2+√3) +(2-√3)

⇒a+1/a=4

squaring it gives (a+1/a)∧2 =16

a∧2+1/a∧2=16-2 =14