# Between which 2 whole numbers is the square root of 2?

Apr 14, 2018

$1$ and $2$

#### Explanation:

So the way you have to think about this is to look at the perfect square numbers next to $2$. Those two numbers would be $1$ and $4$. So now, we can put this information together in an inequality.

$1 < 2 < 4$

$\left(\sqrt{1}\right) < \left(\sqrt{2}\right) < \left(\sqrt{4}\right)$

$1 < \left(\sqrt{2}\right) < 2$

So that's your answer. $\sqrt{2}$ is between $1$ and $2$.