Math, asked by Kalyanirathia, 3 months ago

prove that 5 + √3 is irrational.​

Answers

Answered by BRIANLYQUEEN2929
9

Step-by-step explanation:

  • ʟᴇᴛ ᴜs ᴀssᴜᴍ ᴛʜᴀᴛ 5 + ʀᴏᴏᴛ 3 ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ sᴏ ᴡᴇ ғɪɴᴅ ᴛᴡᴏ ɪɴᴛᴇɢᴇʀs ᴀ,ʙ .ᴡʜᴇʀᴇ ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ᴛᴡᴏ ᴄᴏ - ᴘʀɪᴍᴇ ɴᴜᴍʙᴇʀ.
  • = ʀᴏᴏᴛ
  •  \sqrt{3 }  = 5 + a  \b

  • ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ɪɴᴛᴇɢᴇʀs sᴏ [5+ᴀ/ʙ ] ɪs ʀᴀᴛɪᴏɴᴀʟ
  • ʙᴜᴛ ʀᴏᴏᴛ 3 ɪs ɪʀʀᴀᴛɪᴏɴ { ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴀɴᴅ ɪᴛ ɪs ɢɪᴠᴇɴ }
  • sᴏ ɪᴛ ᴀʀɪsᴇ ᴄᴏɴᴛʀᴀᴅɪᴄᴛɪᴏɴ ᴅᴜᴇ ᴛᴏ ᴏᴜʀ ᴄᴏʀʀᴇᴛ ᴀssᴜᴍᴘᴛɪᴏɴ ᴛʜᴀᴛ 5 + ʀᴏᴏᴛ 3 ɪs ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜɴʙᴇʀs
  • ʜᴇɴᴄᴇ, 5 + ʀᴏᴏᴛ 3 ɪs ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ..

ʜᴏᴘᴇs ɪᴛ ʜᴇʟᴘ ᴛᴏ ᴜ..

@BʀɪᴀɴʟʏQᴜᴇᴇɴ#

Answered by Anonymous
0

Answer:

here's your answer mate

mark me as brainliest

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