Question

if a=√5+1/√5-1 and but=√5-1/√5+1, find the value of (√a+√b) 2​

Answer 1

Answer:

Here ab=1

& (a+b)=

5

−1

5

+1

+

5

+1

5

−1

⇒(a+b)=

4

(

5

+1)

2

+(

5

−1)

2

=

4

5+1+2

5

+5+1−25

⇒

(a+b)=3

(a

2

+b

2

)=(a+b)

2

−2ab

=9−2=7

∴

a

2

+b

2

−ab

a

2

+b

2

+ab

=

7−1

7+1

=

3

4

Answer 2

Answer:

The answer of this question is 5