An irrational number is defined as any number that cannot be expressed as a basic fractivity or does not have terminating or repeating decimals. Of the answer selections offered, the just number that cannot be expressed as a straightforward fraction or via repeating or terminating decimals is

.You are watching: Which of the following is an irrational number?

**Correct answer:**

Explanation:

An irrational number is any kind of number that have the right to not be expressed as a proportion of integers, i.e. a portion. As such, the just irrational number detailed is

.Explanation:

The square root of an integer is either an irrational number or an integer. The latter is the situation if and just if tright here is an integer which, as soon as multiplied by itself, or squared, yields the number inside the symbol (the radicand) as the product. Of

, just 81 is the square of an integer (9).Explanation:

Since

comes up an accurate integer - 5. This is the correct alternative.Explanation:

An irrational number is one that cannot be written as a fraction. All integers are rational numberes.

Repeating decimals are never before irrational,

can be removed because.and are perfect squares making them both integers.

As such, the just remaining answer is

.Explanation:

A rational number deserve to be expressed as a portion of integers, while an irrational number cannot.

can be created as . is simply , which is a rational number.The number

deserve to be rewritten as a portion of totality numbers, , which provides it a rational number. is also a rational number bereason it is a proportion of entirety numbers.The number,

, on the other hand, is irrational, since it has an irconsistent sequence of numbers (...) that cannot be written as a fraction.Explanation:

An irrational number is any number that cannot be composed as a portion of entirety numbers. The number pi and also square roots of non-perfect squares are examples of irrational numbers.

deserve to be composed as the fraction . The term is a whole number. The square root of is , additionally a rational number. , however, is not a perfect square, and also its square root, therefore, is irrational.Explanation:

A rational number is any number that deserve to be expressed as a fraction/ratio, through both the numerator and also denominator being integers. The one limitation to this definition is that the denominator **cannot** be equal to

See more: How Long Is Tonights Game Of Thrones Bonus Episode, The Last Watch?

Using the over interpretation, we view

, and (which is ) cannot be expressed as fractions. These are non-terminating numbers that are not repeating, meaning the decimal has no pattern and constantly transforms. When a decimal is non-terminating and also constantly alters, it cannot be expressed as a fraction. is the correct answer because , which deserve to be expressed as , fullfilling our above defintion of a rational number.Report an Error

← Previous

*1*2 Next →

View Pre-Algebra Tutors

Wanda Certified Tutor

Thomas Edikid State College, Bachelor of Science, Liberal Arts and also Sciences.

View Pre-Algebra Tutors

Netra Certified Tutor

Prithvi Narayan Campus, Bachelor of Science, Physics. College of Wisconsin-Milwaukee, Doctor of Philosophy, Physics.

View Pre-Algebra Tutors

Monica Certified Tutor

Stony Brook College, Bachelor in Arts, Sustaincapacity Studies.

### All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Concern of the Day Flashcards Find Out by Concept

Popular Subjects

Algebra Tutors in San Francisco-Bay Area, Spanish Tutors in Washington DC, French Tutors in Philadelphia, ISEE Tutors in Seattle, Chemisattempt Tutors in Houston, LSAT Tutors in Philadelphia, MCAT Tutors in San Diego, MCAT Tutors in Atlanta, Chemisattempt Tutors in New York City, English Tutors in Phoenix

Popular Courses & Classes

LSAT Courses & Classes in Phoenix, ACT Courses & Classes in Denver, ISEE Courses & Classes in Houston, LSAT Courses & Classes in Boston, Spanish Courses & Classes in Seattle, GRE Courses & Classes in Boston, LSAT Courses & Classes in New York City, SSAT Courses & Classes in Miami, ISEE Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Dallas Ft Worth

Popular Test Prep

GRE Test Prep in Atlanta, LSAT Test Prep in Miami, SAT Test Prep in Chicago, SSAT Test Prep in Phoenix, ISEE Test Prep in Dallas Ft Worth, SSAT Test Prep in New York City, MCAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Houston, ACT Test Prep in New York City, LSAT Test Prep in Phoenix

Report an problem via this question

If you"ve found an problem with this question, please let us understand. With the aid of the community we deserve to proceed to enhance our educational sources.

Do not fill in this field

* Your Name:

* Issue Description:

DMCA Complaint

Your Infringement Notice might be forwarded to the party that made the content easily accessible or to 3rd parties such as ChillingEffects.org.

Please follow these actions to file a notice:

You must incorporate the following:

Sfinish your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105