Question

Do anybody know how to do this if so can you help me thanks

Answer 1

`A + B =`


`= √(27) + 5 + 4√(12) - 2`


`= 3 √(3) + 5 + 8 \sqrt {3} - 2`


`= 11 √(3) + 3`

A + B is irrational.


`A * B =`


`= (√(27) + 5)(4√(12) - 2)`


`= (3 √(3) + 5)(8 √(3) - 2)`


`= 24 * 3 - 6 √(3) + 40 √(3) - 10`


`= 72 + 34 \sqrt {3} - 10`


`= 62 + 34 √(3)`

A * B is irrational.

I did one addition and one product.
Use the same method to do the other additions and products.