Question

If a= 2+√3 ,then find the value of a -1/a

Answer 1

Answer:

a=2+root3

1/a=2-root 3

So,a+1/a=2root3

Answer 2

Step by step solution :-

$a \: = 2 + \sqrt{3}$

${a}^{ - 1} = (2 - \sqrt{3} ) \div(4 - 3)$

${a}^{ - 1} = (2 - \sqrt{3} )$

$a \: - {a}^{ - 1} = 2 \cdot \sqrt{3}$