Find the smallest number by which 1200 must be multiplied so that the square root of the product obtained is a rational number
Answers
Answered by
18
the smallest no. is 3
this is bcuz when u prime factorize 1200 u get 2*2*2*2*5*5*3 in which all no. are in pairs except 3 that is if we want to pair nos u will get 2 pair,2 pair, 5pair but no 3 pair. so we will multiply it by 3 thus getting 3600 which is the square of 60
this is bcuz when u prime factorize 1200 u get 2*2*2*2*5*5*3 in which all no. are in pairs except 3 that is if we want to pair nos u will get 2 pair,2 pair, 5pair but no 3 pair. so we will multiply it by 3 thus getting 3600 which is the square of 60
Similar questions