Question

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

Answer 1

Step-by-step explanation:

a=2+√3

1/a=1/2+√3

1/a=2-√3/2²-3

1/a=2-√3

a-1/a=2+√3-2+√3=2√3

Answer 2

Answer:

a = 2+√3 ,find a-1/a

$2 + \sqrt{3 } - \frac{1}{2 + \sqrt{3} } =$

$2 + \sqrt{3} - \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} }$

$2 + \sqrt{3} - \frac{2 - \sqrt{3} }{4 - 3} = 2 + \sqrt{3 } - \frac{2 - \sqrt{3} }{1}$

2+√3-(2-√3) =

2+√3-2+√3

√3 gets cancelled

2+2 = 4

hope it helps.....