Question

Prove that 3√7 is irrational

Answer 1

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......



HOPE IT WILL HELP YOU.... :-)

Answer 2

Hey!!!!
Let 3/√7 be a rational number

3/√7=p/q

√7=p/3q(Integer/interger)

But √7 is irrational number

Hence our contradiction was wrong

3/√7 is irrational number

hence proved
hope it helps u!!!!!!!!!