Question

Which of the following numbers is irrational? -9/5 , sqrt (5) , 7/3 , sqrt (9)

Answer 1

Sqrt 5 because it’s an imperfect square. Fractions with integers are always rational and sqrt 9 is perfect so it is also an integer.

Answer 2

Answer:

$\large\boxed { \ ANS = \sqrt{5} }$

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as simple fractions. All the numbers listed above except for $\sqrt{5}$ cannot be written as fractions.

• $\frac{7}{3}$ is already a fraction

• $\frac{-9}{5}$ is also already a fraction

• $\sqrt{9}$ is 3 and 3 can be written as $\frac{3}{1}$

• $\sqrt{5}$  is an irrational algebraic number and cannot be written as a simple fraction since it is equal to

2.23606797749978969640917366873127623544061835961152572427089..which continues on and on.

I hope this helped you understand this topic!