Question

Simplify : (√3 - √5) (√5 + √3) / 7- 2√5

Answer 1

Step-by-step explanation:

Hi ,

[( √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 ]

I hope this helps you.

:)