Find the product of the pair of conjugates. (2sqrt(3) -sqrt(7))(2sqrt(3)+sqrt(7))

Marisol Rivers 2022-07-27 Answered
Find the product of the pair of conjugates.
( 2 3 7 ) ( 2 3 + 7 )
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Answers (2)

Clarissa Adkins
Answered 2022-07-28 Author has 16 answers
For this question, we are going to apply the same method we use inpolynomials called the FOIL Method which states:
First
Outer
Inner
Last
Therefore, let's follow this process to get the following:
[ 2 3 ] [ 2 3 ] + [ 2 3 ] [ 7 ] + [ 2 3 ] [ 7 ] [ 7 ] [ 7 ]
Now, whenever we're multiplying the same radical as seen above, wecan simplify it as just the number inside the radical beingmultiplied by the constants to get the following:
4 ( 3 ) + 2 3 7 2 3 7 7
With further simplification from the above we can get the followingas a result:
FINAL ANSWER: 12 - 7 = 5
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scherezade29pc
Answered 2022-07-29 Author has 2 answers
( 2 3 7 ) ( 2 3 + 7 ), FOIL method, this look like ( a b ) ( a b ) = a 2 b 2
= ( 2 3 ) ( 2 3 ) 2 3 7 + 2 3 7 7 7
=4(3)-7
=5
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