Question

Can someone help me pls :(​

Answer 1

`a=11, b=2`

Explanation:

Keep in mind that
`4-√(5)` and
`4+√(5)` are conjugates of each other. While it's typically known for rationalization of the denominator, getting an integer answer helps to simplify the fraction as shown in steps 5-7:

`((4-√(5))(4+√(5)))/(2√(11))`

`(4(4)+4(√(5))-4(√(5))-√(5)(√(5)))/(2√(11))`

`(16+4√(5)-4√(5)-5)/(2√(11))`

`(16-5)/(2√(11))`

`(11)/(2√(11))`

`(√(11)√(11))/(2√(11))`

`(√(11))/(2)`

Therefore,
`a=11` and
`b=2`