Answer:
B. [tex]\sqrt{15}[/tex]
Step-by-step explanation:
We have been given four numbers. We are asked to find the irrational number from our given number.
A. [tex]\sqrt{16}[/tex]
[tex]\sqrt{16}=4[/tex]
Since we can write 4 as a fraction, therefore, [tex]\sqrt{16}[/tex] is a rational number.
B. [tex]\sqrt{15}[/tex]
[tex]\sqrt{15}=3.8729833462[/tex]
Since our given number has non-terminating non repeating decimal, therefore, [tex]\sqrt{16}[/tex] is an irrational number.
C. [tex]\sqrt{36}[/tex]
[tex]\sqrt{36}=6[/tex]
Since we can write 6 as a fraction, therefore, [tex]\sqrt{36}[/tex] is a rational number.
D. [tex]\sqrt{100}[/tex]
[tex]\sqrt{100}=10[/tex]
Since we can write 10 as a fraction, therefore, [tex]\sqrt{100}[/tex] is a rational number.
