Can 2 be written as a rational number p/q ? Class 9

Can 2 be written as a rational number p/q ? Class 9

Question 1.

Can [latex]\sqrt{2}[/latex] be written as a rational number [latex]\frac{p}{q}[/latex] ? Class 9

Answer:

No, [latex]\sqrt{2}[/latex] cannot be written as a rational number in the form [latex]\frac{p}{q}[/latex],

where p and q are integers and q ≠ 0.

This is because [latex]\sqrt{2}[/latex] is an irrational number.

Hence, it cannot be expressed as a ratio of two integers.