SOLUTION: SIMPLIFY EACH RADICAL ASSUME THAT ALL VARIABLES REPRESENT POSITIVE REAL NUMBERS SQ ROOT OF 27 OVER 2+ THE SQ ROOT OF 3

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Question 64632This question is from textbook ALGEBRA FOR COLLEGE STUDENTS
: SIMPLIFY EACH RADICAL ASSUME THAT ALL VARIABLES REPRESENT POSITIVE REAL NUMBERS
SQ ROOT OF 27 OVER 2+ THE SQ ROOT OF 3 This question is from textbook ALGEBRA FOR COLLEGE STUDENTS

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%2827%29%2F%282%2Bsqrt%283%29%29%29
+%28sqrt%2827%29%29%282-sqrt%283%29%29%2F%282%2Bsqrt%283%29%29%282-sqrt%283%29%29+%29
[multiply the denominator and the numerator by the conjugate]
.
+3%28sqrt%283%29%29%282-sqrt%283%29%29%2F%282%2Bsqrt%283%29%29%282-sqrt%283%29%29+%29 [simplify]
.
+%286%28sqrt%283%29-3%283%29%29%29%2F%28%284-2sqrt%283%29%2B2sqrt%283%29-3%29%29+%29%29
.
+%28%286%28sqrt%283%29-9%29%29%29%2F%28%284-3%29%29%29+%29%29
.
+%28%286%28sqrt%283%29-9%29%29%29%2F%28%281%29%29%29+%29%29
.
%28+6sqrt%283%29-9+%29