Question

Can someone please explain how to do these

Answer 1

see explanation

Explanation:

(3)

Multiply numerator/denominator of fraction by
`√(3)`

2
`√(3)` +
`(3)/(√(3) )` ×
`(√(3) )/(√(3) )`

= 2
`√(3)` +
`(3√(3) )/(3)`

= 2
`√(3)` +
`√(3)` = 3
`√(3)`

(6)

Multiply numerator/denominator of fraction by
`√(7)`

`(28)/(√(7) )` ×
`(√(7) )/(√(7) )` - 3
`√(7)`

=
`(28√(7) )/(7)` - 3
`√(7)`

= 4
`√(7)` - 3
`√(7)` =
`√(7)`

(9)

Multiply numerator/denominator of fraction by
`√(7)`

`(49)/(√(7) )` ×
`(√(7) )/(√(7) )` - 3
`√(7)`

=
`(49√(7) )/(7)` - 3
`√(7)`

= 7
`√(7)` - 3
`√(7)` = 4
`√(7)`

Answer 2

do you want me to further factorise them??