If a =square root of 6negative square root of 3,b =square root of 3 minus square root of 2 end root space a n d space c equals square root of 2 minus square root of 6 end root comma space t h e n space f i n d space v a l u e space o f space a cubed plus b cubed plus c cubed minus 2 a b c.

Asked by Turjo Bhattacharjee | 28th May, 2015, 09:56: PM

Expert Answer:

a equals square root of 6 minus square root of 3 comma space b equals square root of 3 minus square root of 2 comma space c equals square root of 2 minus square root of 6 H e r e comma a plus b plus c equals square root of 6 minus square root of 3 plus square root of 3 minus square root of 2 plus square root of 2 minus square root of 6 equals 0 W e space k n o w comma I f space a plus b plus c equals 0 comma space t h e n a cubed plus b cubed plus c cubed equals 3 a b c  a cubed plus b cubed plus c cubed minus 2 a b c equals 3 a b c minus 2 a b c equals a b c equals open parentheses square root of 6 minus square root of 3 close parentheses open parentheses square root of 3 minus square root of 2 close parentheses open parentheses square root of 2 minus square root of 6 close parentheses equals open parentheses square root of 18 minus square root of 12 minus square root of 9 plus square root of 6 close parentheses open parentheses square root of 2 minus square root of 6 close parentheses equals open parentheses 3 square root of 2 minus 2 square root of 3 minus 3 plus square root of 6 close parentheses open parentheses square root of 2 minus square root of 6 close parentheses equals open parentheses 3 square root of 4 minus 3 square root of 12 minus 2 square root of 6 plus 2 square root of 18 minus 3 square root of 2 plus 3 square root of 6 plus square root of 12 minus square root of 36 close parentheses equals open parentheses 6 minus 6 square root of 2 minus 2 square root of 6 plus 6 square root of 2 minus 3 square root of 2 plus 3 square root of 6 plus 2 square root of 3 minus 6 close parentheses equals open parentheses negative 3 square root of 2 plus square root of 6 plus 2 square root of 3 close parentheses equals open parentheses square root of 6 plus 2 square root of 3 minus 3 square root of 2 close parentheses  P l e a s e space c h e c k space y o u r space q u e s t i o n.

Answered by Prasenjit Paul | 29th May, 2015, 09:19: AM

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