Simplify (-5+√3)(5+√3)/7-2√5

1.	Simplify (-5+√3)(5+√3)/7-2√5
Answer» ANSWER: - [2( 7 + 2√5 )/29 ] Step-by-step EXPLANATION: [( √3 - √5 )( √5 + √3 )]/(7-2√5 ) = [ (√3 - √5 )( √3 + √5 )]/( 7 - 2√5 ) = [ ( √3 )² - ( √5 )² ] /( 7 - 2√5 ) = ( 3 - 5 )/( 7 - 2√5 ) = [ (-2 )( 7 + 2√5 )]/[ (7-2√5)(7+2√5)] = [(-2)(7+2√5)]/[ 7² - ( 2√5 )² ] = [(-2)(7+2√5)]/( 49 - 20) = [ ( -2 ) ( 7 + 2√5 )]/29 = - [2( 7 + 2√5 )/29 ] hope it helps you.

Answer»

- [2( 7 + 2√5 )/29 ]

Step-by-step EXPLANATION:

[( √3 - √5 )( √5 + √3 )]/(7-2√5 )

= [ (√3 - √5 )( √3 + √5 )]/( 7 - 2√5 )

= [ ( √3 )² - ( √5 )² ] /( 7 - 2√5 )

= ( 3 - 5 )/( 7 - 2√5 )

= [ (-2 )( 7 + 2√5 )]/[ (7-2√5)(7+2√5)]

= [(-2)(7+2√5)]/[ 7² - ( 2√5 )² ]

= [(-2)(7+2√5)]/( 49 - 20)

= [ ( -2 ) ( 7 + 2√5 )]/29

= - [2( 7 + 2√5 )/29 ]

hope it helps you.

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