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:

c)  (

d)    (

Step-by-step explanation:

Step(i):-

Given that the binomial expression

          (

Multiply

        ( 36 + 6√12 -6√12 -(√12)²)

    =  ( 36 -12)

   =  24

c)  (

Step(ii):-  

Given that the binomial expression

          (

Multiply

 =  9 - 3√8 + 3√8 -(√8)²

=   9 - 8

= 1

d)    (

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: