Question

if a=6 + 2✓3 , find the value of a-1/a​

Answer 1

Given that,

a=2+3

Then, Value of

  a−a1=2+3−2+31

 =2+3−2+31×2−32−3onrationalize

 =2+3−4−3(2−3)

 =2+3−2+3

 =23

Hence, this is the answer.

Answer 2

Given that,a=2+3Then, Value of  a−a1=2+3−2+31 =2+3−2+31×2−32−3onrationalize =2+3−4−3(2−3) =2+3−2+3 =23