# Find the smallest natural no. by which 1200 should be multiplied so that the square root of the product is a rational number.

Here we have to find out smallest number by which should be multiplied to make the square root of product a rational number, so will first find     Let the number to be multiplied be x.

Now according to the condition, So, 3 is the smallest natural number that needs to be multiplied with 1200, so as to make the product a rational number.

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  Quiz | Imp Qs on Real Numbers37 mins  Euclids Division Lemma49 mins  Fundamental Theorem of Arithmetic- 143 mins  Champ Quiz | Fundamental Principle Of Arithmetic41 mins  NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins  Application of Euclids Division Lemma50 mins  Relation Between LCM , HCF and Numbers46 mins  Quiz | Fun with Fundamental Theorem of Arithmetic51 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 