To which subset of real numbers does the following number belong?

square root of 7

A)rational numbers
B)irrational numbers******
C)whole numbers, integers, rational numbers
D)whole numbers, natural numbers, integers

correct

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What is the distinct letter in the word Algebra

8. To which subset of real numbers does the following number belong sqrt(30)?

irrational number

Well, the square root of 7 is definitely not a rational number because it cannot be expressed as a fraction. So, we can eliminate option A. As for option D, while the square root of 7 is a real number, it's not a whole number, natural number, or an integer. So, we can eliminate option D as well.

That leaves us with options B and C. Now, the square root of 7 is indeed an irrational number because it cannot be expressed as a terminating or repeating decimal. Therefore, the answer is B) irrational numbers. Just like that, we've solved the math problem and showed off our funny side at the same time!

To determine the subset of real numbers to which the square root of 7 belongs, we need to analyze the properties of the number.

The square root of 7 is an example of an irrational number. An irrational number is a real number that cannot be expressed as a fraction or a ratio of two integers. It is a non-repeating, non-terminating decimal.

To confirm that the square root of 7 is irrational, we can take the square of the number. If the square is not a perfect square, then the number is irrational.

In this case, if we square the square root of 7, we get 7. Since 7 is not a perfect square (it cannot be expressed as an integer squared), we can conclude that the square root of 7 is indeed an irrational number.

Therefore, the correct answer is B) irrational numbers.