If√2= 1.4141 then find the value of √ √2-1\√2+1
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ʜᴇʟʟᴏ ᴍᴀᴛᴇ!
( √2 - 1 )/( √2 + 1 )
ʀᴀᴛɪᴏɴᴀʟɪᴢᴇ
( √2 - 1 )/( √2 + 1 ) × ( √2 - 1 )/( √2 - 1 )
( √2 - 1 )²/ ( √2² - 1² )
( √2² + 1 - 2√2 )/ ( 2 - 1 )
= √ ( 3 - 2√2 )
= √ ( √2² + 1 - 2√2 )
= √( √2 - 1 )²
= √2 - 1
ᴀs √2 = 1.4142
= 1.4142 - 1 = 0.4142
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs
( √2 - 1 )/( √2 + 1 )
ʀᴀᴛɪᴏɴᴀʟɪᴢᴇ
( √2 - 1 )/( √2 + 1 ) × ( √2 - 1 )/( √2 - 1 )
( √2 - 1 )²/ ( √2² - 1² )
( √2² + 1 - 2√2 )/ ( 2 - 1 )
= √ ( 3 - 2√2 )
= √ ( √2² + 1 - 2√2 )
= √( √2 - 1 )²
= √2 - 1
ᴀs √2 = 1.4142
= 1.4142 - 1 = 0.4142
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs
helloanubhavmopaizbd:
thanks
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