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

Answer:

c)  ($(6-\sqrt{12} )(6+\sqrt{12} ) = 24$

d)    ($(3+\sqrt{8} )(3-\sqrt{8} ) = 1$

Step-by-step explanation:

Step(i):-

Given that the binomial expression

          ($(6-\sqrt{12} )(6+\sqrt{12} )$

Multiply

        ( 36 + 6√12 -6√12 -(√12)²)

    =  ( 36 -12)

   =  24

c)  ($(6-\sqrt{12} )(6+\sqrt{12} ) = 24$

Step(ii):-  

Given that the binomial expression

          ($(3+\sqrt{8} )(3-\sqrt{8} )$

Multiply

 =  9 - 3√8 + 3√8 -(√8)²

=   9 - 8

= 1

d)    ($(3+\sqrt{8} )(3-\sqrt{8} ) = 1$