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(3√5-2√2)(4√5+2√2)

0 votes
four radicals.
asked Mar 11, 2014 in ALGEBRA 1 by johnkelly Apprentice
reshown Mar 12, 2014 by goushi

1 Answer

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( 3 √5 - 2 √2 ) ( 4 √5 + 2√2)

= ( 3 √5 ) ( 4 √5 ) + ( 3 √5 )  (2 √2 ) -  ( 2 √2 )( 4 √5 ) - ( 2√2) ( 2√2).

= 12 (√5 )2 + 6 ( √5 *  √2 )  -   8 ( √2 *  √5 ) - 4 ( √2 ) 2

= 12 ( 5 ) + 6 ( √10 )  -   8 √10  - 4 ( 2 )

= 60 -  2√10  - 8

= 52 -  2√10 

= 2 ( 26 -  √10 ).

Therefore ( 3 √5 - 2 √2 ) ( 4 √5 + 2√2) = 2 ( 26 -  √10 ).

answered Apr 2, 2014 by friend Mentor
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