Question

simplify ( √3-√5) (√5+√3)/7-2√5

Answer 1

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.

:)

Answer 2

[(√3 - √5) (√5 - √3 )] / 7- 2√5

= [ ( √3 -√5)(√5-√3)] 7+ 2√5

.......................................... multi by .................
7 - 2 √5. 7 + 2√5


= 7+2√5 (√3 -√5) (√5 -√3)
....................................................
( 7)^2. - (2√5)^2

= 7+ 2√5 ( √3 -√5) (√5-√3)
................................................
49 - [4 ( 5)]

= 7+2√5 ( √3-√5) (√5-√3)
.........................................
49 - 20 = 29

= 7+ 2√5 ( √3-√5) (√5-√3)
............... .................. ..........
29

= 7+ 2√5 ( 15 - 9 - 25 +15)
............. ...... .......... ...... .....
29

= 7+ 2√5 ( -4)
...........................
29