Question

Prove that root 3 is an irrational number..​

Answer 1

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❥︎ ɪᴛ ᴡᴀs ᴀ ᴅᴜʟʟ ɢʟᴏᴏᴍʏ ᴅᴀʏ. ɪᴛ ᴡᴀs 6 ᴘ.ᴍ. ᴡʜᴇɴ ɪ sᴀᴡ ᴀʙᴏᴠᴇ ɪɴ ᴛʜᴇ sᴋʏ, ᴛʜᴇ ᴄʟᴏᴜᴅs ᴡᴇʀᴇ ʟᴏᴏᴋɪɴɢ ʟɪᴋᴇ ɪᴛ ᴡᴀs ɢᴏɪɴɢ ᴛᴏ ʀᴀɪɴ ᴛᴏᴏ ᴍᴜᴄʜ ʜᴇᴀᴠɪʟʏ. sᴏ, ɪ sᴛᴀʀᴛᴇᴅ ᴡᴀʟᴋɪᴍɢ ᴛᴏᴡᴀʀᴅs ᴛʜᴇ sʜᴏᴘ ᴀs ғᴀsᴛ ᴀs ᴘᴏssɪʙʟᴇ.

❥︎ ɪ ᴡᴀs ɢᴏɪɴɢ ᴛᴏ sʜᴏᴘ ғᴏʀ ʙᴜʏɪɴɢ ᴍʏ ʙᴏᴏᴋ. sᴏ, ᴡʜᴇɴ ɪ ʀᴇᴀᴄʜᴇᴅ ᴛʜᴇ sʜᴏᴘ, ɪ ʟᴏᴏᴋᴇᴅ ᴜᴘ ᴀᴛ ᴛʜᴇ sᴋʏ, ᴀɴᴅ ᴇɴᴛᴇʀᴇᴅ ᴛʜᴇ sʜᴏᴘ ɪɴ ᴀ ʜᴜʀʀʏ. ɪ ʙᴏᴜɢʜᴛ ᴛʜᴇ ʙᴏᴏᴋ ɪ ᴡᴀɴᴛᴇᴅ, ᴀɴᴅ ᴘᴀɪᴅ ᴛᴏ ᴛʜᴇ sʜᴏᴘᴋᴇᴇᴘᴇʀ ғᴏʀ ɪᴛ.

❥︎ ᴛʜᴇʀᴇᴀғᴛᴇʀ, ɪ ᴡᴀʟᴋᴇᴅ ᴏᴜᴛ ᴏғ ᴛʜᴇ sʜᴏᴘ, ᴀɴᴅ ᴀɢᴀɪɴ sᴀᴡ ᴛᴏᴡᴀʀᴅs ᴛʜᴇ sᴋʏ. ɪ sᴛᴀʀᴛᴇᴅ ᴡᴀʟᴋɪɴɢ ᴀɢᴀɪɴ ᴛᴏ ᴍʏ ᴡᴀʏ ʜᴏᴍᴇ. ɪᴛ ᴡᴀs ɢᴇᴛᴛɪɴɢ ᴅᴀʀᴋᴇʀ ᴀɴᴅ ᴅᴀʀᴋᴇʀ, ᴀɴᴅ sᴏ ɪ ᴛʜᴏᴜɢʜᴛ ᴛʜᴀᴛ ɪᴛ sʜᴏᴜʟᴅ ɴᴏᴛ ʀᴀɪɴ ɴᴏᴡ, sɪɴᴄᴇ ɪ ᴡᴀs ɴᴏᴛ ʜᴀᴠɪɴɢ ᴀɴ ᴜᴍʙʀᴇʟʟᴀ. ʙᴜᴛ ɪᴛ ᴅɪᴅɴ'ᴛ ɢᴏ ᴛʜᴇ ᴡᴀʏ ᴛʜᴀᴛ ɪ ᴛʜᴏᴜɢʜᴛ, ᴀɴᴅ ᴛʜᴇ ᴄʟᴏᴜᴅs sᴛᴀʀᴛᴇᴅ ᴛʜᴜɴᴅᴇʀɪɴɢ ɴᴏɪsɪʟʏ. ɪ ɢᴏᴛ ᴀ ʟɪᴛᴛʟᴇ ʙɪᴛ ғʀɪɢʜᴛᴇɴᴇᴅ ʙʏ sᴇᴇɪɴɢ ᴛʜᴏsᴇ ᴛʜᴜɴᴅᴇʀɪɴɢ ᴄʟᴏᴜᴅs, ʙᴜᴛ ɪ ɴᴇᴇᴅᴇᴅ ᴛᴏ ɢᴏ ʜᴏᴍᴇ ᴀɴʏ ᴡᴀʏ. sᴏ, ɪ ᴄᴏᴜʀᴀɢᴇᴏᴜsʟʏ, sᴛᴀʀᴛᴇᴅ ᴍᴏᴠɪɴɢ ғᴀsᴛᴇʀ ᴛʜᴀɴ ʙᴇғᴏʀᴇ.

❥︎ ᴍʏ ᴡᴀʏ ᴡᴀs ᴊᴜsᴛ ʟᴇғᴛ ᴏғ ᴀʙᴏᴜᴛ 1/2 ᴋɪʟᴏᴍᴇᴛʀᴇs ᴛᴏ ʜᴏᴍᴇ. ɪᴛ ᴡᴀs ᴛᴏᴛᴀʟ sɪʟᴇɴᴄᴇ ᴡʜɪʟᴇ ɪ ᴡᴀs ɢᴏɪɴɢ, ᴀɴᴅ ɪᴛ ᴛʜᴜɴᴅᴇʀᴇᴅ ᴠᴇʀʏ sʜᴏᴜᴛɪʟʏ. ᴏʜ ɴᴏ! ɪ ᴇxᴄʟᴀɪᴍᴇᴅ, ᴀɴᴅ ᴛʜᴇ ʀᴀɪɴ sᴛᴀʀᴛᴇᴅ ᴛᴏ ᴘᴏᴜʀ. ɪ sᴀᴡ ᴀ sʜᴏᴘ ɴᴇᴀʀʙʏ, ᴡʜᴇʀᴇ ɪ sᴛᴏᴘᴘᴇᴅ ғᴏʀ sᴏᴍᴇᴛɪᴍᴇ. ᴛʜᴇɴ, ᴡʜᴇɴ ᴛʜᴇ ʀᴀɪɴ sʟᴏᴡᴇᴅ ᴅᴏᴡɴ, ɪ ʀᴀɴ ғᴀsᴛʟʏ ᴛᴏᴡᴀʀᴅs ᴛʜᴇ ᴡᴀʏ ʜᴏᴍᴇ. ᴀɴᴅ, ʜᴜʜ! ɪ ᴛᴏᴏᴋ ᴀ ᴅᴇᴇᴘ ʙʀᴇᴀᴛʜᴇ ғᴏʀ ɪ ʜᴀᴅ ʀᴇᴀᴄʜᴇᴅ ʜᴏᴍᴇ.

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${\Large{\pink{\: \: \: \: \: \: \: \:♡︎ \: Ⓗ︎Ⓔ︎Ⓛ︎Ⓟ︎Ⓢ︎ \:Ⓨ︎Ⓞ︎Ⓤ︎\: ♡︎}}}$

Answer 2

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☆Take 1st

$\sqrt{3} is \: \: a \: rational \: no.$

$\huge\colorbox{orange}{Đøłý࿐ ❤}$