Question
Fri April 18, 2014 By: Disha

x=3+2 sqrt(2) then find thevalue of {sqrt(x)-1/sqrt(x)}

Expert Reply
Fri April 18, 2014
g i v e n space t h a t space x equals 3 plus 2 square root of 2 W e space n e e d space t o space f i n d space t h e space v a l u e space o f space square root of x minus fraction numerator 1 over denominator square root of x end fraction : square root of x minus fraction numerator 1 over denominator square root of x end fraction equals square root of 3 plus 2 square root of 2 end root minus fraction numerator 1 over denominator square root of 3 plus 2 square root of 2 end root end fraction equals fraction numerator square root of 3 plus 2 square root of 2 end root cross times square root of 3 plus 2 square root of 2 end root minus 1 over denominator square root of 3 plus 2 square root of 2 end root end fraction equals fraction numerator 3 plus 2 square root of 2 minus 1 over denominator square root of 3 plus 2 square root of 2 end root end fraction equals fraction numerator 2 plus 2 square root of 2 over denominator square root of 3 plus 2 square root of 2 end root end fraction cross times fraction numerator square root of 3 minus 2 square root of 2 end root over denominator square root of 3 minus 2 square root of 2 end root end fraction equals fraction numerator 2 plus 2 square root of 2 over denominator square root of 3 squared minus 2 squared cross times 2 end root end fraction cross times begin inline style square root of 3 minus 2 square root of 2 end root end style equals open parentheses begin inline style 2 plus 2 square root of 2 end style close parentheses open parentheses begin inline style square root of 3 minus 2 square root of 2 end root end style close parentheses
Home Work Help