Question

prove that 3√7 is irrational number​

Answer 1

because they cannot be broken or divided into other no

Answer 2

Hii friend,

If possible , let 3✓7 be rational Number. Then 3✓7 is rational , 1/3 is rational.

=> (1/3 × 3✓7) is rational . [ Because product of two rationals is rational]

=> ✓7 is rational.

This contradicts the fact that ✓7 is irrational.

This contradiction arises by assuming that 3✓7 is rational.

Hence,

3✓7 is irrational...... PROVED......