Question

if√3+1/√3-1=a+b√2,find the values of a and b​

Answer 1

Answer:

√3+1/√3-1

rationalize

(√3+1)(√3+1)/(√3-1)(√3+1)

using (a-b)(a+b)=a²-b²

(a+b)²= a²+b²+2ab

(√3+1)²/(√3)²-(1)²

3+1+6/3-1

10/2

5

√3+1/√3-1=a+b√2

5=a+b√2

therefore, a=5 and b=0