Question

Please help!!!!

Sometimes you need to use FOIL, in order to simplify a radical expression,

Multiplying binomial expressions is very similar to multiplying binomial radicals

Examples:

Answer 1

c) (
`(6-√(12) )(6+√(12) ) = 24`

d) (
`(3+√(8) )(3-√(8) ) = 1`

Explanation:

Step(i):-

Given that the binomial expression

(
`(6-√(12) )(6+√(12) )`

Multiply

( 36 + 6√12 -6√12 -(√12)²)

= ( 36 -12)

= 24

c) (
`(6-√(12) )(6+√(12) ) = 24`

Step(ii):-

Given that the binomial expression

(
`(3+√(8) )(3-√(8) )`

Multiply

= 9 - 3√8 + 3√8 -(√8)²

= 9 - 8

= 1

d) (
`(3+√(8) )(3-√(8) ) = 1`