Math, asked by angelranton, 16 hours ago

Show that
 \sqrt{3}
is not a national number
by Contradiction method

Answers

Answered by ɪᴛᴢᴛʀᴀɢɪᴄɢɪʀʟ
3

Since both q and r are odd, we can write q=2m−1 and r=2n−1 for some m,n∈N. We note that the lefthand side of this equation is even, while the righthand side of this equation is odd, which is a contradiction. Therefore there exists no rational number r such that r2=3. Hence the root of 3 is an irrational number.

Answered by jasimarafi
0

Answer:

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