Question

if a and b are rational numbers ,2+√3/2-√3=a +b√3,then find the value of a²-b²

Answer 1

2+√3      2 +√3     (2+√3)²
⁻⁻⁻⁻⁻  ×  ⁻⁻⁻⁻⁻⁻  = ⁻⁻⁻⁻⁻⁻⁻
2-√3      2 + √3     2² - (√3)²
 
  4+4√3+3      
⇒⁻⁻⁻⁻⁻⁻⁻⁻⁻  = 7+4√3
   4 - 3

a=7;b=4

(a+b)(a-b)=a²-b²
(7+4)(7-4)=a²-b²
11×3=a²-b²
33=a²-b²

Answer 2

Answer:

Here's ur Answer Mate:-

Refer the attachment.

Hope it helps uh!