Answer :

Let be a rational number, say r

Then

On squaring both sides,

using (a + b) ^{ 2 } =a ^{ 2 } + 2ab + b ^{ 2 }

Now is a rational number and is an irrational number.

Since a rational number cannot be equal to an irrational number. Our assumption that is rational is wrong.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Draw the graph ofNCERT - Mathematics