Answer:
D. [tex]\sqrt{20}[/tex]
Step-by-step explanation:
We have been given some numbers. We are asked to choose the irrational number from our given choices.
We know that a number is rational number, which can be written as a fraction. A number is irrational when it has non-terminating non-repeating decimal.
A. [tex]\frac{3}{5}[/tex]
Since given number is fraction, so it is rational.
B. [tex]\sqrt{4}[/tex]
[tex]\sqrt{4}=2[/tex]
Since we can write 2 as a fraction [tex]\frac{2}{1}[/tex], so it is rational.
C. [tex]\sqrt{25}[/tex]
[tex]\sqrt{25}=5[/tex]
Since we can write 5 as a fraction [tex]\frac{5}{1}[/tex], so it is rational.
D. [tex]\sqrt{20}[/tex]
[tex]\sqrt{20}=4.47213595499[/tex]
Since the given number has non-terminating non-repeating decimal, so it is irrational.
E. [tex]\frac{5}{3}[/tex]
Since given number is fraction, so it is rational.
