Question

FIND VALUE OF a, b, c

Answer 1

Hi ,

LHS = 4/( 2 + √3 + √7 )

= 4( 2 + √3 - √7)/[(2+√3+√7)(2+√3-√7)]

=4(2+√3-√7)/[ (2 + √3 )² - ( √7 )² ]

= 4( 2 + √3 - √7 )/ ( 4 + 3 +4√3 - 7 )

= 4( 2 +√3 - √7 )/4√3

= ( 2 + √3 - √7 )/√3

= [ √(4/3 ) + 1 - √( 7/3 )

= 1 + √(4/3 ) - √(7/3 )-----( 1 )

= √a + √b - √c ---( 2 )

compare ( 1 ) and ( 2 ) , we get

a = 1 , b = 4/3 , c = 7/3

I hope this helps you.

: )