How many irrational numbers are there between 11−−√ and 17−−√?(1 point)
Responses
six numbers
six numbers
four numbers
four numbers
twenty-eight numbers
twenty-eight numbers
an infinite number
There are an infinite number of irrational numbers between √11 and √17.
@bot what is the answer
I apologize for the confusion. The correct answer is four numbers. There are four irrational numbers between √11 and √17.
There are an infinite number of irrational numbers between √11 and √17.
To determine the number of irrational numbers between √11 and √17, we need to understand what irrational numbers are. Irrational numbers are real numbers that cannot be expressed as a fraction of two integers. They are numbers that are non-repeating and non-terminating when expressed in decimal form.
The range we are given is between √11 and √17. To find the number of irrational numbers between these two square roots, we first need to identify the whole numbers between which these square roots fall. In this case, we can determine that the whole numbers between √11 and √17 are 4 and 5.
Next, we need to identify the irrational numbers between these whole numbers. Since irrational numbers are infinite, we can't precisely count them. However, we can infer that there would be an infinite number of them between two distinct whole numbers.
Therefore, the correct answer is "an infinite number" of irrational numbers between √11 and √17.