Posted by Dorothy on Tuesday, May 22, 2012 at 4:22pm.
4k : k∈Z is an integer which is a multiple of 4.
Its square is 16k^2.
For 3n=16k^2, we have n=16k^2/3 ∈Z, so 3 must divide k^2, which in turn means that 3 divides k.
So the smallest n is when k=3, or
n=16*3^2/3=48
assuming n is a positive integer.
Related Questions
Math - What is the smallest positive integer n so that 3n squared is a multiple ...
Math - I need help on this question. What is the smallest positive integer n ...
7th grade math Ms.Sue please - 1. Which of these numbers can be classified as ...
Math - Just need some help... Directions: Multiply or raise to the power as ...
Algebra - Rationalize each expression by building perfect nth root factors for ...
Math - What is the square root of 12? 3.464 Well, that's true, but you could...
Math - Could someone please help me with this math problem? This is what I have ...
arithmetic - Find the smallest positive integer P such that the cube root of 400...
math - find a polynomial with integer coefficients such that square root of 3 + ...
math - find a polynomial with integer coefficients such that square root of 3 + ...
For Further Reading
