4) Determine if the number is rational (R) or irrational (I)

The given expression is,
[tex]\sqrt{101}[/tex]Therefore,
[tex]\sqrt{101}=10.04987562[/tex]An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio.
Hence, the square-root of 101 cannot be expressed as a simple fraction, therefore it is an irrational number.
Therefore, it is an Irrational number.