Question

If a and b are rational numbers and
2+√3
2-√3
=a +bV3, find the value of a and b.​

Answer 1

Answer:

a = 7, b = 4

Step-by-step explanation:

(2+√3) / (2-√3)

= (2+√3)²/ (4-3)............... (rationalizing)

= ( 4+3+4√3) / 1

= 7+4√3 = a+b√3....... ...(given)

on comparing ,

=> a = 7

=> b = 4

hope this helps you