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o-na [289]
2 years ago
9

50 POINTS WILL GIVE BRAINIEST. Which of the following numbers are irrational?

Mathematics
1 answer:
Otrada [13]2 years ago
8 0

Answer:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

Step-by-step explanation:

<u>Definitions</u>

Integer: A whole number that can be positive, negative, or zero.

Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).

Irrational Number: A real number that <u>cannot</u> be written as a rational number.

\sf -8.2183 \times 10000=-82183

\implies \sf -8.2183=-\dfrac{82183}{10000}

Therefore, -8.2183 can be expressed as a <u>rational number</u>.

π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.  

\textsf{Therefore},\:\dfrac{\pi}{3}\:\textsf{is irrational}.

\sqrt[\sf 3]{\sf 25} is an irrational number.

\sf 9+ \sqrt{4}=9+\sqrt{2^2}=9+2=11

As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.

<u>Conclusion</u>

Therefore, the numbers that are irrational are:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

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