√m+(1/√m) = 2 হলে, √m - (1/√m) =?

প্রশ্ন: √m+(1/√m) = 2 হলে, √m - (1/√m) =?

সমাধান:
দেওয়া আছে,
√m + (1/√m) = 2

এখন,
{√m - (1/√m)}² = {√m + (1/√m)}² - 4. √m (1/√m)
⇒ {√m - (1/√m)}² = (2)² - 4
⇒ {√m - (1/√m)}² = 4 - 4
⇒ {√m - (1/√m)}² = 0
⇒ {√m - (1/√m)} = 0

∴ √m - (1/√m) = 0