Given:
![\sqrt[]{101}](https://img.qammunity.org/2023/formulas/mathematics/high-school/3rnncze14kxi5dkxuv3j7yi7d352cjn3sb.png)
Let's select the number line that could show this value.
To select the number line, let's first simplify the expression.
We have:
![\sqrt[]{101}=10.05\approx10](https://img.qammunity.org/2023/formulas/mathematics/high-school/f8a63n3xx6fuvtns6a1j6ubcnv3gj5zu78.png)
The number line that will represent this value must have a dot on the point 10.
This is because the value √101 is approximately 10.
Therefore, the number line that could show this value is the number line with a point on 10.
The correct number line is:
ANSWER: