Answer:
B.
![√(15)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zy1d8j1wmw5i4w38i49cgrcsk2fk5s5g4a.png)
Explanation:
We have been given four numbers. We are asked to find the irrational number from our given number.
A.
![√(16)](https://img.qammunity.org/2020/formulas/mathematics/high-school/c11c5avphvyvioemu0yum3mgufr79hw215.png)
![√(16)=4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/on2u26fjvy4hbazjytop6l7kvibfck88pb.png)
Since we can write 4 as a fraction, therefore,
is a rational number.
B.
![√(15)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zy1d8j1wmw5i4w38i49cgrcsk2fk5s5g4a.png)
![√(15)=3.8729833462](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pbr8um4t3tc2fckhbqhpvbdy96adlvcbdd.png)
Since our given number has non-terminating non repeating decimal, therefore,
is an irrational number.
C.
![√(36)](https://img.qammunity.org/2020/formulas/mathematics/high-school/hj1m9r3lya0dl8qkntjydub3r9oohkdqas.png)
![√(36)=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t4v57d5apfpj53kd8scfgbj09rgduofb3c.png)
Since we can write 6 as a fraction, therefore,
is a rational number.
D.
![√(100)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pb7xsrkvwpbxerceqcxeqf81a1whbxkg3s.png)
![√(100)=10](https://img.qammunity.org/2020/formulas/mathematics/college/whe62z3o0qbasxdzje4hx8177dwtlwshzq.png)
Since we can write 10 as a fraction, therefore,
is a rational number.