Find the value of a and b if      bevelled fraction numerator 3 minus square root of 6 over denominator 3 plus 2 square root of 6 end fraction  is equal to a square root of 6 space minus space b

Asked by ajaykaul9 | 15th May, 2015, 09:37: PM

Expert Answer:

fraction numerator 3 minus square root of 6 over denominator 3 plus 2 square root of 6 end fraction equals a square root of 6 minus b rightwards double arrow fraction numerator left parenthesis 3 minus square root of 6 right parenthesis left parenthesis 3 minus 2 square root of 6 right parenthesis end root over denominator left parenthesis 3 plus 2 square root of 6 right parenthesis end root left parenthesis 3 minus 2 square root of 6 right parenthesis end root end fraction equals a square root of 6 minus b rightwards double arrow fraction numerator 9 minus 6 square root of 6 minus 3 square root of 6 plus 12 over denominator 3 squared minus 24 end fraction equals a square root of 6 minus b rightwards double arrow fraction numerator 21 minus 9 square root of 6 over denominator 9 minus 24 end fraction equals a square root of 6 minus b rightwards double arrow fraction numerator 21 minus 9 square root of 6 over denominator negative 15 end fraction equals a square root of 6 minus b rightwards double arrow fraction numerator 9 square root of 6 minus 21 over denominator 15 end fraction equals a square root of 6 minus b rightwards double arrow fraction numerator 9 square root of 6 over denominator 15 end fraction minus 21 over 15 equals a square root of 6 minus b rightwards double arrow 3 over 5 square root of 6 minus 7 over 5 equals a square root of 6 minus b C o m p a r i n g space t h e space c o e f f i c i e n t space o f space t h e space e q u a t i o n space o n space b o t h space s i d e s comma a equals 3 over 5 comma space b equals 7 over 5

Answered by Prasenjit Paul | 16th May, 2015, 10:52: PM