Question

√3+1/√3-1=a-b√3 .. FIND A AND B.

Answer 1

Heya !!!


✓3 + 1 / ✓3 - 1 = A - B✓3




LHS = ✓3+1/✓3-1



=> ✓3+1/✓3-1 × ✓3+1/✓3+1


=> (✓3 + 1 ) ( ✓3 + 1 ) / ( ✓3 + 1 ) ( ✓3 - 1)



=> (✓3+1)² / ( ✓3)² - (1)²



=> (✓3)² + (1)² + 2×✓3 + 1 / 3 - 1


=> 3 + 1 + 2✓3 / 2



=> 4+2✓3/2



=> 2 ( 2 + ✓3 ) / 2



=> 2+✓3


Now,


LHS = RHS


2 + ✓3 = A-B✓3


Clearly,


A = 2 and B = -1.



★ HOPE IT WILL HELP YOU ★

Answer 2

Here is your answer


root 3 + 1 ÷ root 3 - 1 = a - broot3


(root 3)² + (1)² + 2 root 3 1 ÷ 2 = a - broot3


3 + 1 + 2 root 1 = a - broot 3

a = 2 and b = -1


Hope it helps you ^_^