Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Select all the numbers that are irrational

Select All The Numbers That Are Irrational class=

Sagot :

2 Answers:

A)  [tex]-\sqrt{5}[/tex]

D)  [tex]\pi[/tex]

===========================================

Explanation:

Choices B and C are rational because we can simplify them to form a fraction of integers.

[tex]-\sqrt{49} = -7 = -\frac{7}{1}[/tex]

[tex]\sqrt{0} = 0 = \frac{0}{1}[/tex]

Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.

So we can rule out choices B and C.

---------------

Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes [tex]-\sqrt{5}[/tex] irrational.

The same can be said about [tex]\pi[/tex] which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.

Choice A and choice D are the two answers.

----------------

If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers

The number -0.777, where the 7s go on forever, converts to the fraction -7/9

That means we rule out choice E.

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.