Question

Which of the following is irrational?
A. √6
B. √25
C. √0.16
D. √900

Answer 1

Among the options provided, √6 is the irrational number because it cannot be simplified to a fraction of two integers.

Step-by-step explanation:

The question asks which of the following numbers is irrational:

• A. √6
• B. √25
• C. √0.16
• D. √900

To determine which of these numbers is irrational, we need to know that an irrational number is a number that cannot be expressed as a fraction of two integers. A rational number, on the other hand, can be written as a fraction.

Let's evaluate each option:

1. √6 cannot be simplified to a fraction of two integers, thus it is irrational.
2. √25 equals 5, which is a whole number and also a rational number.
3. √0.16 equals 0.4, which can be expressed as the fraction 2/5, making it a rational number.
4. √900 equals 30, which is a whole number and a rational number.

Therefore, the irrational number among the given options is A. √6.