Which statement about the product is true?
5.5 times StartRoot 5 EndRoot
(1 point)
Responses
The product is rational.
The product is rational.
The product is irrational.
The product is irrational.
The product is neither rational nor irrational.
The product is neither rational nor irrational.
There is not enough information provided to answer the question.
The statement "There is not enough information provided to answer the question" is true. Without more information about the product, such as if it is a whole number or a fraction, it cannot be determined if it is rational or irrational.
The statement "There is not enough information provided to answer the question" is true.
To determine whether the product 5.5 times StartRoot 5 EndRoot is rational or irrational, we need to understand the properties of rational and irrational numbers.
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Irrational numbers, on the other hand, cannot be expressed as a fraction and have non-repeating decimal expansions.
To determine whether the product is rational or irrational, we need to evaluate it.
The product 5.5 times StartRoot 5 EndRoot can be simplified by multiplying the whole number part (5.5) with the square root of 5.
5.5 times StartRoot 5 EndRoot = 5.5 * 2.2361 (approximately) = 12.29855 (approximately)
Since the result is a decimal that does not terminate or repeat, we can conclude that the product 5.5 times StartRoot 5 EndRoot is an irrational number. Therefore, the correct statement about the product is: "The product is irrational."