can you please tell me how we get  (3+square root of blank end root3)(3-square root of blank end root3)= 9-3=6 using the given identity??
(a+square root of blank end rootb)(a-square root of blank end rootb)=a^2-b

Asked by syamjulie | 2nd May, 2016, 06:55: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e x p r e s s i o n
open parentheses 3 plus square root of 3 close parentheses open parentheses 3 minus square root of 3 close parentheses
W e space k n o w space t h a t space open parentheses a plus b close parentheses open parentheses a minus b close parentheses equals a squared minus b squared
therefore open parentheses a plus square root of b close parentheses open parentheses a minus square root of b close parentheses equals a squared minus open parentheses square root of b close parentheses squared equals a squared minus b... left parenthesis 1 right parenthesis
I n space o u r space p r o b l e m comma space a equals 3 space a n d space b equals 3
therefore s u b s t i t u t i n g space t h e space v a l u e s space o f space a space a n d space b space i n space e q u a t i o n space left parenthesis 1 right parenthesis comma space w e space h a v e comma

therefore open parentheses 3 plus square root of 3 close parentheses open parentheses 3 minus square root of 3 close parentheses equals 3 squared minus open parentheses square root of 3 close parentheses squared equals 9 minus 3 equals 6

Answered by Vimala | 3rd May, 2016, 08:40: AM