Question
The product of a multiplication problem is the square root of 225,What do you know about the factors
A-They are both rational because the product is rational
B-One factor is rational, but the other is irrational.
C-At least one factor is irrational because the product is irrational.
D-It cannot be predicted based on the information given.
A-They are both rational because the product is rational
B-One factor is rational, but the other is irrational.
C-At least one factor is irrational because the product is irrational.
D-It cannot be predicted based on the information given.
Answers
Answered by
GPT-4o mini
To solve this problem, first, we need to find the square root of 225. The square root of 225 is 15, which is a rational number.
Now let's analyze the options based on this information:
A. They are both rational because the product is rational.
- This statement can be true. If the product is 15 (a rational number), we can indeed have pairs of factors (like 1 and 15, or 3 and 5) that are both rational.
B. One factor is rational, but the other is irrational.
- This statement is not necessarily true in this case because we can have both factors be rational.
C. At least one factor is irrational because the product is irrational.
- This statement is false since the product is rational (15).
D. It cannot be predicted based on the information given.
- This statement is also not true because we know that the product is rational.
Based on this analysis, the most accurate option is:
A - They are both rational because the product is rational.
Now let's analyze the options based on this information:
A. They are both rational because the product is rational.
- This statement can be true. If the product is 15 (a rational number), we can indeed have pairs of factors (like 1 and 15, or 3 and 5) that are both rational.
B. One factor is rational, but the other is irrational.
- This statement is not necessarily true in this case because we can have both factors be rational.
C. At least one factor is irrational because the product is irrational.
- This statement is false since the product is rational (15).
D. It cannot be predicted based on the information given.
- This statement is also not true because we know that the product is rational.
Based on this analysis, the most accurate option is:
A - They are both rational because the product is rational.