solution

Asked by shahooqbakhsh | 26th May, 2020, 08:28: AM

Expert Answer:

Given: a = 3-2root2
To find the value of a2 - 1/a2 
a squared minus 1 over a squared
equals open parentheses a minus 1 over a close parentheses open parentheses a plus 1 over a close parentheses
equals open parentheses 3 minus 2 square root of 2 minus fraction numerator 1 over denominator 3 minus 2 square root of 2 end fraction cross times fraction numerator 3 plus 2 square root of 2 over denominator 3 plus 2 square root of 2 end fraction close parentheses open parentheses 3 minus 2 square root of 2 plus fraction numerator 1 over denominator 3 minus 2 square root of 2 end fraction cross times fraction numerator 3 plus 2 square root of 2 over denominator 3 plus 2 square root of 2 end fraction close parentheses
equals open parentheses 3 minus 2 square root of 2 minus fraction numerator 3 plus 2 square root of 2 over denominator 9 minus 8 end fraction close parentheses open parentheses 3 minus 2 square root of 2 plus fraction numerator 3 plus 2 square root of 2 over denominator 9 minus 8 end fraction close parentheses
equals open parentheses 3 minus 2 square root of 2 minus 3 minus 2 square root of 2 close parentheses open parentheses 3 minus 2 square root of 2 plus 3 plus 2 square root of 2 close parentheses
equals open parentheses negative 4 square root of 2 close parentheses open parentheses 6 close parentheses
equals negative 24 square root of 2

Answered by Renu Varma | 26th May, 2020, 10:24: AM