Which number is irrational?
Responses
1.01001000100001.....
1.01001000100001.....
1.2525252525.....
1.2525252525.....
100−−−√
square root of 100
4 1/6
AAAaannndd the bot gets it wrong yet again!
1.01001000100001
it does not terminate or repeat
The number that is irrational among the options provided is the square root of 100, written as 100−−−√. Irrational numbers cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal representations.
The irrational number in the given options is the square root of 100. To determine which number is irrational, we need to understand what an irrational number is.
An irrational number is a real number that cannot be expressed as a fraction or ratio of two integers. These numbers have infinite non-repeating decimal representations.
Now, let's consider the options:
1. The number 1.01001000100001..... is not an irrational number because it has a repeating pattern. It is a rational number since it can be expressed as a ratio of two integers.
2. The number 1.2525252525..... also has a repeating pattern, making it a rational number.
3. The square root of 100 is an irrational number. The square root of 100 is 10, which cannot be expressed as a fraction or ratio of two integers.
4. The number 4 1/6 is a rational number since it can be expressed as the fraction 25/6.
Therefore, the number that is irrational in the given options is the square root of 100.