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 product is irrational.
Which of the following are reasonable answers for the product of two negatives and a positive?
(1 point)
Responses
20
20
10
10
Negative 20
Image with alt text: Negative 20
Negative 10
To determine whether the statement about the product is true, we need to evaluate the product 5.5 times the square root of 5.
Step 1: Multiply 5.5 by the square root of 5.
Product = 5.5 * √5
However, without any further information or context, we cannot determine whether the product is rational or irrational. Therefore, the correct answer is: There is not enough information provided to answer the question.
To determine if the given product 5.5 times √5 is rational or irrational, we need to understand the definition of these terms.
A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers. In other words, a rational number can be written in the form a/b, where a and b are integers and b is not equal to zero.
On the other hand, an irrational number is a number that cannot be expressed as a fraction. These numbers have decimal expansions that neither terminate nor repeat.
With this understanding, we can proceed to analyze the given expression: 5.5 times √5.
To determine if the product is rational or irrational, we need to consider whether the square root of 5 is rational or irrational. The square root of 5 (√5) is irrational because it cannot be expressed as a fraction.
Now, multiplying an irrational number by any non-zero rational number will always result in an irrational number. Since 5.5 is a non-zero rational number (it can be expressed as a fraction: 11/2), multiplying it by an irrational number (√5) will yield an irrational product.
Therefore, the statement "The product is irrational" is true.