Question

Find the values of 'a' and 'b' if root3-1/root3+1=a+b*root3 please answer

Answer 1

Step-by-step explanation:

√3-1/√3+1= a+b*√3

√3-1/√3+1×√3-1/√3-1 = a+√3b ( conjugate )

(√3+1)²/(√3)²-(1)² = a + √3b

( using idy. a²-b² = (a+b)(a-b)

3+2√3+1/3-1 = a+√3b

4+2√3 = 2(a+√3b)

2(2+√3) = 2(a+√3b)

so, by comparing ..

a = 2 , b = 1

Answer 2

a=2 and b=-1 as a+b root 3