Q2

Asked by harshulkumar08 | 8th Oct, 2019, 07:52: PM

Expert Answer:

Given: 
N equals fraction numerator square root of square root of 5 plus 2 end root plus square root of square root of 5 minus 2 end root over denominator square root of square root of 5 plus 1 end root end fraction minus square root of 3 minus 2 square root of 2 end root
equals open square brackets open parentheses fraction numerator square root of square root of 5 plus 2 end root plus square root of square root of 5 minus 2 end root over denominator square root of square root of 5 plus 1 end root end fraction close parentheses squared close square brackets to the power of 1 divided by 2 end exponent space minus space square root of 2 minus 2 square root of 2 plus 1 end root
equals open parentheses fraction numerator square root of 5 plus 2 plus square root of 5 minus 2 plus 2 square root of square root of 5 minus 2 end root times square root of square root of 5 plus 2 end root over denominator square root of 5 plus 1 end fraction close parentheses to the power of 1 divided by 2 end exponent space minus space square root of open parentheses square root of 2 minus 1 close parentheses squared end root
equals open parentheses fraction numerator 2 square root of 5 plus 1 over denominator square root of 5 plus 1 end fraction close parentheses to the power of 1 divided by 2 end exponent minus open parentheses square root of 2 minus 1 close parentheses
equals square root of 2 minus open parentheses square root of 2 minus 1 close parentheses
equals 1

Answered by Renu Varma | 9th Oct, 2019, 10:46: AM