Answer :

Let 3√3be a rational number say r.

Then 3√3=r

We know that LHS(√3) is an irrational number therefore RHS should also be an irrational number.

Thus r is an irrational number.

Therefore, our assumption that 3√3 is a rational number is wrong.

Rate this question :

How useful is this solution?

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

Related Videos

Interactive Quiz:Euclid's Division Lemma44 mins

Fundamental Theorem of Arithmetic-238 mins

Champ Quiz | Fundamental Principle Of Arithmetic41 mins

Fundamental Theorem of Arithmetic- 143 mins

Euclids Division Lemma49 mins

NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins

Quiz | Imp Qs on Real Numbers37 mins

Relation Between LCM , HCF and Numbers46 mins

Application of Euclids Division Lemma50 mins

Quiz | Fun with Fundamental Theorem of Arithmetic51 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 :

Draw the graph of 2x – 3y = 4. From the graph, find whether x = -1, y = -2 is a solution or not. (Final)

NCERT - MathematicsProve the following identities :

tan^{4}θ + tan^{2}θ = sec^{4}θ – sec^{2}θ

If, then find the values of sin θ and cos θ.

KC Sinha - MathematicsWrite the first three terms of the following sequences defined by:

KC Sinha - Mathematics