Which list contains ONLY irrational numbers?
2 answers:
Answer:
The correct option is A.
Step-by-step explanation:
A real number is called a rational number if it can be represented as p/q, where p and q are two integers and q≠0. For example: 2,4/5, 0.2.
A real number is called an irrational number if it can not be represented as p/q, where p and q are two integers and q≠0. For example: π, √2, 2.333....
In option A, all numbers are irrational numbers.
Therefore option A is correct.
In option B,
3 is a rational numbers, so √9 is a rational number.
Therefore option B is incorrect.
In option C,
12 is a rational numbers, so √144 is a rational number.
Therefore option C is incorrect.
In option D,
11 is a rational numbers, so √121 is a rational number.
Therefore option D is incorrect.
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To solve the problem shown above you must apply the following proccedure:
1. You have the following function given in the problem:
<span> f(x)=x3–3x–2
2. When you give values to the x and plot each point obtained, you obtain the graph shown in the figure attached.
3. Based on the graph and analizing the alternate form:
f(x)=(x-2)(x+1)</span>²
As you can see, there is two roots x=-1, then, you can conclude that the correct answer is the option b, which is:
b) -1
<span>
</span>
1. You have the following function given in the problem:
<span> f(x)=x3–3x–2
2. When you give values to the x and plot each point obtained, you obtain the graph shown in the figure attached.
3. Based on the graph and analizing the alternate form:
f(x)=(x-2)(x+1)</span>²
As you can see, there is two roots x=-1, then, you can conclude that the correct answer is the option b, which is:
b) -1
<span>
</span>