Asked by Topperlearning User | 12th Sep, 2016, 04:30: AM

Expert Answer:

1 minus square root of x squared minus 1 end root i equals 1 half left square bracket 2 minus 2 square root of x squared minus 1 end root i right square bracket
space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half left square bracket left parenthesis x plus 1 right parenthesis minus left parenthesis x minus 1 right parenthesis minus 2 square root of x plus 1 end root square root of x minus 1 end root i right square bracket
space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half left square bracket square root of x plus 1 end root minus square root of x minus 1 end root right square bracket squared
s o space t h e space s q u a r e space r o o t space i s space plus-or-minus fraction numerator 1 over denominator square root of 2 end fraction left square bracket square root of x plus 1 end root minus square root of x minus 1 end root i right square bracket

Answered by  | 12th Sep, 2016, 06:30: AM