We know that
![\begin{gathered} \sqrt[]{1}=1 \\ \sqrt[]{1}6=4 \\ \sqrt[]{100}=10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lplz6yqty5bh9x6a24fug9a09p2gmfe5k5.png)
So now we can easily place them on the number line.
But how do we place √75 non-perfect square numbers on the number line?
We know that √75 is in between perfect squares √64 and √81
√64 = 8
√81 = 9
So, this means that √75 will be placed between 8 and 9 on the number line.
Let us show this on the number line.