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

Multiplying binomial expressions is very similar to multiplying binomial radicals

Examples:

Please Help Sometimes You Need To Use FOIL In Order To Simplify A Radical Expression Multiplying Binomial Expressions Is Very Similar To Multiplying Binomial Ra class=

Sagot :

Answer:

c)  ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]

d)    ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]

Step-by-step explanation:

Step(i):-

Given that the binomial expression

          ([tex](6-\sqrt{12} )(6+\sqrt{12} )[/tex]

Multiply

        ( 36 + 6√12 -6√12 -(√12)²)

    =  ( 36 -12)

   =  24

c)  ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]

Step(ii):-  

Given that the binomial expression

          ([tex](3+\sqrt{8} )(3-\sqrt{8} )[/tex]

Multiply

 =  9 - 3√8 + 3√8 -(√8)²

=   9 - 8

= 1

d)    ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]

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