We have to find which of this numbers is irrational.
The definition of an irrational number is a real number that can not be expressed as a fraction or a quotient of two integers. For example, pi or the square root of 2.
We will test each option to see if they are irrational or not.
A)
![\sqrt[]{100}=10\longrightarrow\text{not irrational}](https://img.qammunity.org/2023/formulas/mathematics/college/kshjmfglblfqcek7ritigqimu2ql6n38sm.png)
B)
![(1)/(8)\longrightarrow\text{not irrational}](https://img.qammunity.org/2023/formulas/mathematics/college/2e0yir4qonnpav8sykktm0iv9z29ak4506.png)
C)
![-2.2675=(-22,675)/(10,000)\longrightarrow\text{not irrational}](https://img.qammunity.org/2023/formulas/mathematics/college/cbh057vnnol9e0knhz9054cijm85gnam82.png)
D)
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