if a=5-√2/2. find a-1/a
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Step-by-step explanation:
a = 5- root 2 /2
a-1/a = 5- root 2/2 -1 / 5- root 2/ 2
=( 5- root 2 - 2/ 2 )/ 5- root 2/ 2
= 3- root 2 / 5- root 2
( on rationalising this no.)
=( 15 + 3 root 2 - 5 root 2 - 2) / 23
= 13 - 2 root 2 / 23
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