write a short note on irrational numbers
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Answer:
ᴀɴ ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ɪꜱ ᴀ ᴛʏᴘᴇ ᴏꜰ ʀᴇᴀʟ ɴᴜᴍʙᴇʀ ᴡʜɪᴄʜ ᴄᴀɴɴᴏᴛ ʙᴇ ʀᴇᴘʀᴇꜱᴇɴᴛᴇᴅ ᴀꜱ ᴀ ꜱɪᴍᴘʟᴇ ꜰʀᴀᴄᴛɪᴏɴ. ɪᴛ ᴄᴀɴɴᴏᴛ ʙᴇ ᴇxᴘʀᴇꜱꜱᴇᴅ ɪɴ ᴛʜᴇ ꜰᴏʀᴍ ᴏꜰ ᴀ ʀᴀᴛɪᴏ. ɪꜰ ɴ ɪꜱ ɪʀʀᴀᴛɪᴏɴᴀʟ, ᴛʜᴇɴ ɴ ɪꜱ ɴᴏᴛ ᴇQᴜᴀʟ ᴛᴏ ᴘ/Q ᴡʜᴇʀᴇ ᴘ ᴀɴᴅ Q ᴀʀᴇ ɪɴᴛᴇɢᴇʀꜱ ᴀɴᴅ Q ɪꜱ ɴᴏᴛ ᴇQᴜᴀʟ ᴛᴏ 0.
ᴇxᴀᴍᴘʟᴇ: √2, √3, √5, √11, √21, π(ᴘɪ) ᴀʀᴇ ᴀʟʟ ɪʀʀᴀᴛɪᴏɴᴀʟ.
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Step-by-step explanation:
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, √11, √21, π(Pi) are all irrational.
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