Question

prove that 1/√2 is irrationals​

Answer 1

let 1/√2 is rational no
1/√2 =p /q (q is not equal to zero)
√2=q/p
LHS is irrational
RHS is irrational
LHS is not equal to RHS.
our supposition is wrong
hence 1/√2 is irrational. please mark me brainliest i need it

Answer 2

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⎟⎟ ✪✪ ＱＵＥＳＴＩＯＮ ✪✪⎟⎟

prove that 1/√2 is irrational number.

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⎟⎟ ✪✪ ＡＮＳＷＥＲ ✪✪⎟⎟

Oɴ ᴛʜᴇ ᴄᴏɴᴛʀᴀʀʏ, sᴜᴘᴘᴏsᴇ ᴛʜᴀᴛ 1/√2 ɪs ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ;

ᴛʜᴇɴ 1/√2 ɪs ᴏғ ᴛʜᴇ ғᴏʀᴍ ᴏғ P/Q ᴡʜᴇʀᴇ P ᴀɴᴅ Q ᴀʀᴇ ɪɴᴛᴇɢᴇʀs.

∴ 1/√2 = P/Q (ᴏʙᴠɪᴏᴜsʟʏ P, Q ≠ 0)

⇒ √2/1 = Q/P

(i.e) √2 ɪs ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴀɴᴅ ɪᴛ ɪs ᴄᴏɴᴛʀᴀᴅɪᴄᴛɪᴏɴ. ᴛʜɪs ᴄᴏɴᴛʀᴀᴅɪᴄᴛɪᴏɴ ᴀʀɪsᴇᴅ ᴅᴜᴇ ᴛᴏ ᴏᴜʀ sᴜᴘᴘᴏsɪᴛɪᴏɴ ᴛʜᴀᴛ 1/√2 ɪs ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ

ʜᴇɴᴄᴇ 1/√2 ɪs ᴀɴ ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ.

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