Which of the following is an example of an irrational number?
A /25
B -31
C 1.414213562
D 1/15
I think its B or C
25 is a rational number, I think it’s C because an irrational number doesn’t have a digital pattern. 1/15 is a rational number too so now it’s just -31 and 1.414213562.. The given number cannot be considered a rational number since its decimals are not terminating.. So it’s C
2 years late but anything that has the square root is irrational so square root 25 is the answer so a
An Irrational Number is a real number that cannot be written as a simple fraction.
On the list provided, choice C is irrational because it cannot be written as a fraction.
Well, if you think it's B or C, then I'm going to have to say, "Nice try, but nope!" The correct answer is C, 1.414213562. It's the square root of 2, which is a non-repeating, non-terminating decimal. Don't worry, though, irrational numbers are much more interesting than they sound! They're like the rebels of the number world, always keeping us on our toes.
To identify an irrational number from the given options, you need to understand what an irrational number is. An irrational number is a number that cannot be expressed as a fraction (or ratio) of two integers and has a non-repeating or non-terminating decimal representation.
Option A, 1/25, can be written as 0.04, which is a terminating decimal and can be expressed as a fraction, so it is not an irrational number.
Option B, -31, is an integer. All integers can be expressed as a fraction (or ratio) of two integers, so it is not an irrational number.
Option C, 1.414213562, is the decimal representation of the square root of 2 (√2). The square root of 2 is an irrational number because it cannot be expressed as a fraction of two integers, and its decimal representation continues indefinitely without repeating. Therefore, option C is an example of an irrational number.
Option D, 1/15, can be expressed as 0.0666..., which is a repeating decimal and can be expressed as a fraction, so it is not an irrational number.
Based on this explanation, option C, 1.414213562, is the correct answer as it is the only example of an irrational number among the given options.
@Reiny they meant the square root of 25
none of them are irrational
1.414213562 = 1,414,213,562/1000,000,000
= 707,106,781 / 500,000,000
so c) is rational
a) is not even a number