An irrational number is a number that cannot be expressed as a fraction or a decimal that terminates or repeats.
Option A: 1.73205080757/4 can be simplified to 0.43301270189, which is a terminating decimal. Therefore, option A is not irrational.
Option B: 3.6363636363636363 is a repeating decimal because it repeats the digit 3. Therefore, option B is not irrational.
Option C: -7 8/37 is a mixed number and can be converted to a fraction or decimal. Therefore, option C is not irrational.
Option D: 52.781654292 is a decimal that terminates. Therefore, option D is not irrational.
None of the given options are irrational numbers.
Which of the following is irrational?
A: 1.73205080757/4
B: 3.6363636363636363
C: -7 8/37
D: 52.781654292
3 answers
"None of the given options are irrational numbers." isnt an option tho
I apologize for the confusion. Let's re-evaluate the options to determine which one is irrational.
Option A: 1.73205080757/4 can be simplified to 0.43301270189, which is a terminating decimal. Therefore, option A is not irrational.
Option B: 3.6363636363636363 is a repeating decimal because it repeats the digit 3. Therefore, option B is not irrational.
Option C: -7 8/37 can be converted to a mixed number or a decimal. It is not a fraction. If it is simplified to a decimal, it is approximately -6.2162162162162162, which repeats the digits 216. Therefore, option C is not irrational.
Option D: 52.781654292 is a decimal that terminates. Therefore, option D is not irrational.
Based on the evaluation, none of the given options are irrational numbers.
Option A: 1.73205080757/4 can be simplified to 0.43301270189, which is a terminating decimal. Therefore, option A is not irrational.
Option B: 3.6363636363636363 is a repeating decimal because it repeats the digit 3. Therefore, option B is not irrational.
Option C: -7 8/37 can be converted to a mixed number or a decimal. It is not a fraction. If it is simplified to a decimal, it is approximately -6.2162162162162162, which repeats the digits 216. Therefore, option C is not irrational.
Option D: 52.781654292 is a decimal that terminates. Therefore, option D is not irrational.
Based on the evaluation, none of the given options are irrational numbers.