Question

Can someone please help answer this question :)

Answer 1

4 -
`√(6)`

Explanation:

Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.

the conjugate of 4 +
`√(6)` is 4 -
`√(6)` , then

=
`(10(4-√(6)) )/((4+√(6))(4-√(6)) )` ← expand denominator using FOIL

=
`(40-10√(6) )/(16-6)`

=
`(40-10√(6) )/(10)` ( divide terms on numerator/ denominator by 10 )

= 4 -
`√(6)`

Answer 2

I hope this helps you :)