Which of the following numbers are irrational?

negative two and 3456 ten thousandths, one fourth pi, the cube root of nine, and two plus the square root of sixteen

−2.3456 and two plus the square root of sixteen
−2.3456 and one fourth pi
the cube root of nine and two plus the square root of sixteen
one fourth pi and the cube root of nine

Question

19-08-2022
Mathematics

Answered

Which of the following numbers are irrational?

negative two and 3456 ten thousandths, one fourth pi, the cube root of nine, and two plus the square root of sixteen

−2.3456 and two plus the square root of sixteen
−2.3456 and one fourth pi
the cube root of nine and two plus the square root of sixteen
one fourth pi and the cube root of nine

Answer :

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ashishdwivedilVT ashishdwivedilVT · Answer 1 · 2022-08-24T05:15:56-04:00

The number are 1/4 π and [tex]\sqrt[3]{9}[/tex] are irrational number.

It is required to choose the numbers are irrational.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given that:

The given option are

-2.3456 =-23456/10000

since, -2.3456 can be represented as rational numbers.

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

So, 1/4 π is irrational number.

[tex]\sqrt[3]{9}[/tex] is an irrational number.

2 + √16=2+4= 6 is a rational number.

Therefore, the number are 1/4 π and [tex]\sqrt[3]{9}[/tex] are irrational number.

Learn more about real number here:

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