simplify (-5+√3)(5+√3)/7-2√5
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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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