Question

(9-√3)/(√3) + 6/(√5+3) simplify

Answer 1

see your answer in pic.

Answer 2

Hi ,

1 ) ( 9 - √3 ) / √3

= [ √3 ( 9 - √3 ) ]/( √3 × √3 )

= ( 9√3 - 3 )/3 ---( 1 )

2 ) 6/( √5 + 3 )

= [ 6( 3 - √5 ) ]/[ ( 3 + √5 )( 3- √5 )]

= [ 6( 3 - √5 ) ] /[ 3² - ( √5 )² ]

= [ 6( 3 - √5 ) ]/( 9 - 5 )

= [ 6( 3 - √5 )]/4

= 3( 3 - √5 )/2

= ( 9 - 3√5 )/2 ---( 2 )

Now ,

( 9 - √3 )/√3 + 6/( √5 + 3 )

= ( 1 ) + ( 2 )

= ( 9√3 - 3 )/3 + ( 9 - 3√5 )/2

= [ 2(9√3 - 3 ) + 3( 9 - 3√5 )]/6

= ( 18√3 - 6 + 27 - 9√5 )/6

= ( 21 + 18√3 - 9√5 )/6

= [ 3 ( 7 + 6√3 - 3√5 ) ]/6

= ( 7 + 6√3 - 3√5 )/2

I hope this helps you.

: )