Question

If both a and b are rational numbers and√3-1√3+1=a+b√3,​

Answer 1

+1

3

−1

×

3

−1

3

−1

=

2

(

3

−1e =2−

3

=

3

+1

3

−1

×

3

−1

3

−1

=

2

(

3

−1)

2

=2−

3

,

=

3

+1

3

−1

×

3

−1

3

−1

=

2

(

3

−1)

2

=2−

3

Therefore,

=

3

+1

3

−1

×

3

−1

3

−1

=

2

(

3

−1)

2

=2−

3

=

3

+1

3

−1

×

3

−1

3

−1

=

2

(

3

−1)

2

=2−

3

Therefore,

2−

3

=a+b

3

a=2 and b=−,

2−

3

=a+b

3

a=2 and b=−1

−

3

=a+b

3

a=2 and b=−1

2−

3

=a+b

3a=2 and b=−1

=a+b

a=2 and b=−1