Question

Select all irrational numbers.

a.) √1/4
b.) √2/4
c.) √3/4
d.) √4/4
e.) √5/4
Note: these are all the square root of FRACTIONS they are not being divided!!!

Answer 1

The irrational numbers among the given options are √2/4 and √5/4.

Step-by-step explanation:

The irrational numbers are numbers that cannot be represented as a fraction and have an infinite number of non-repeating decimal places. To determine which of the given options are irrational numbers, we need to check if the square root of the corresponding fraction is an irrational number. Let's go through each option:

1. √1/4: The square root of 1/4 is 1/2, which is a rational number.
2. √2/4: The square root of 2/4 is 1/√2. Since √2 is irrational, the square root of 2/4 is also irrational.
3. √3/4: The square root of 3/4 is 1/2√3. Since √3 is irrational, the square root of 3/4 is also irrational.
4. √4/4: The square root of 4/4 is 1, which is a rational number.
5. √5/4: The square root of 5/4 is 1/2√5. Since √5 is irrational, the square root of 5/4 is also irrational.

Therefore, the irrational numbers among the given options are √2/4 and √5/4.