Answer :

Let us assume that 3 + √5 is a rational number

where, b≠0 and a, b are integers

∵ a, b are integers ∴ a – 3b is also integer

is rational which cannot be possible

∵ which is an irrational number

∵ it is contradicting our assumption ∴ the assumption was wrong

Hence, 3 + √5 is an irrational number

Rate this question :

How useful is this solution?

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

Related Videos

Smart Revision | Rapidly Revising Exponents of Real Numbers53 mins

Quiz on Irrational Numbers31 mins

Converting Recurring Numbers in Rational Form48 mins

Introduction to Irrational Numbers50 mins

Irrational numbers on Number line32 mins

RD Sharma | Factorization of Algebraic Expression42 mins

The Curious Case of Irrational Numbers43 mins

Quiz | Irrational Numbers and its Operations45 mins

NCERT | Real Life Examples of 3 Laws of Motion36 mins

Smart Revision | Master Rational and Irrational Numbers58 mins

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 :

Decimal expansionMHB - Math Part-I

Which of the follMHB - Math Part-I

Choose the correcMHB - Math Part-I

Write the followiMHB - Math Part-I

Rationalize the dMHB - Math Part-I

Simplify.

What is √n, if n MHB - Math Part-I

Multiply

Show that is 4√2 MHB - Math Part-I

Which one is the MHB - Math Part-I