Question

prove that √3 is irrational number​

Answer 1

Answer:

Let us assume to the contrary that √3 is a rational number. where p and q are co-primes and q≠ 0. It means that 3 divides p2 and also 3 divides p because each factor should appear two times for the square to exist. ... This demonstrates that √3 is an irrational number.

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Answer 2

Step-by-step explanation:

If possible , let 3 be a rational number and its simplest form be.

The contradiction arises by assuming 3 is a rational.

Hence, 3 is irrational.

If possible, Let (7+23 ) be a rational number.

⟹7−(7+23 ) is a rational.

∴ −23 is a rational.

This contradicts the fact that −23 is an irrational number.