Review question

# When will $N$ definitely be a square number? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9800

## Suggestion

Let $N=2^k\times4^m\times8^n$where $k,m,n$ are positive whole numbers. Then $N$ will definitely be a square number whenever

1. $k$ is even;

2. $k+n$ is odd;

3. $k$ is odd but $m+n$ is even;

4. $k+n$ is even.

When is a number a square? How else can we write the factors to help us?