Asked by x
What type of number will result from multiplying −8–√
and 4/5
?(1 point)
Responses
the number zero
the number zero
a rational number
a rational number
an irrational number
an irrational number
an integer
and 4/5
?(1 point)
Responses
the number zero
the number zero
a rational number
a rational number
an irrational number
an irrational number
an integer
Answers
Answered by
x
that was wrong, it was irrational
Answered by
x
Simon, Asia, and Jiovanni are finding the product of a rational and irrational number.
Simon says the result should be irrational because the product of an irrational and rational number is always irrational.
Asia says the result should be zero because the product of an irrational and rational number is always zero.
Jiovanni says the result should be rational because the product of an irrational and rational number is always rational.
Who is correct?
(1 point)
Responses
Simon
Simon
None of them are correct.
None of them are correct.
Asia
Asia
Jiovanni
Simon says the result should be irrational because the product of an irrational and rational number is always irrational.
Asia says the result should be zero because the product of an irrational and rational number is always zero.
Jiovanni says the result should be rational because the product of an irrational and rational number is always rational.
Who is correct?
(1 point)
Responses
Simon
Simon
None of them are correct.
None of them are correct.
Asia
Asia
Jiovanni
Answered by
x
Don't provide any explanation
Which of the following expressions can be combined using addition?(1 point)
Responses
313−−√+417−−√
3 square root of 13 plus 4 square root of 17
248−−√+498−−√
2 square root of 48 plus 4 square root of 98
328−−√+244−−√
3 square root of 28 plus 2 square root of 44
6√5–+2√20−−
Which of the following expressions can be combined using addition?(1 point)
Responses
313−−√+417−−√
3 square root of 13 plus 4 square root of 17
248−−√+498−−√
2 square root of 48 plus 4 square root of 98
328−−√+244−−√
3 square root of 28 plus 2 square root of 44
6√5–+2√20−−
Answered by
x
I didnt ask you that, answer the question
Answered by
x
Which of the following expressions can be combined using subtraction?(1 point)
Responses
645−−√−263−−√
6 square root of 45 minus 2 square root of 63
899−−√−2176−−−√
8 square root of 99 minus 2 square root of 176
5150−−−√−332−−√
5 square root of 150 minus 3 square root of 32
817−−√−613−−
Responses
645−−√−263−−√
6 square root of 45 minus 2 square root of 63
899−−√−2176−−−√
8 square root of 99 minus 2 square root of 176
5150−−−√−332−−√
5 square root of 150 minus 3 square root of 32
817−−√−613−−
Answered by
GPT-4o mini
To determine the type of number resulting from the multiplication of \(-8\sqrt{} \) (which I interpret as \(-8\)) and \(\frac{4}{5}\):
\[
-8 \times \frac{4}{5} = -\frac{32}{5}
\]
The resulting number, \(-\frac{32}{5}\), is a rational number because it can be expressed as a fraction of two integers.
Therefore, the answer is:
**a rational number**.
\[
-8 \times \frac{4}{5} = -\frac{32}{5}
\]
The resulting number, \(-\frac{32}{5}\), is a rational number because it can be expressed as a fraction of two integers.
Therefore, the answer is:
**a rational number**.
Answered by
GPT-4o mini
I apologize for the misunderstanding. Let's clarify:
If you were referring to the value expressed as \(-8\sqrt{}\), it seems like there might have been a misunderstanding in interpreting the expression. If you meant \(-8\sqrt{1}\), that would equal \(-8\), which is rational.
However, if the intended expression was something like \(-8\sqrt{2}\), and you are multiplying that by \(\frac{4}{5}\):
\[
-8\sqrt{2} \times \frac{4}{5} = -\frac{32\sqrt{2}}{5}
\]
In this case, \(-\frac{32\sqrt{2}}{5}\) is indeed an irrational number because it contains the square root of 2, which is irrational.
So, if you meant \(-8\sqrt{2}\), then your conclusion that the result is an irrational number would be correct.
Thank you for your patience, and I hope this clears things up! If this interpretation is still not what you meant, please provide clarification.
If you were referring to the value expressed as \(-8\sqrt{}\), it seems like there might have been a misunderstanding in interpreting the expression. If you meant \(-8\sqrt{1}\), that would equal \(-8\), which is rational.
However, if the intended expression was something like \(-8\sqrt{2}\), and you are multiplying that by \(\frac{4}{5}\):
\[
-8\sqrt{2} \times \frac{4}{5} = -\frac{32\sqrt{2}}{5}
\]
In this case, \(-\frac{32\sqrt{2}}{5}\) is indeed an irrational number because it contains the square root of 2, which is irrational.
So, if you meant \(-8\sqrt{2}\), then your conclusion that the result is an irrational number would be correct.
Thank you for your patience, and I hope this clears things up! If this interpretation is still not what you meant, please provide clarification.
Answered by
GPT-4o mini
The correct answer is:
**Simon**
Simon's statement is true: when you multiply an irrational number by a non-zero rational number, the product is always irrational.
To clarify the other statements:
- **Asia** is incorrect because the product of a rational and an irrational number is not always zero. The only case where the product is zero is if the rational number is zero itself.
- **Jiovanni** is incorrect because the product of an irrational number and a rational number (unless the rational number is zero) is not rational.
So, Simon is the only one who is correct.
**Simon**
Simon's statement is true: when you multiply an irrational number by a non-zero rational number, the product is always irrational.
To clarify the other statements:
- **Asia** is incorrect because the product of a rational and an irrational number is not always zero. The only case where the product is zero is if the rational number is zero itself.
- **Jiovanni** is incorrect because the product of an irrational number and a rational number (unless the rational number is zero) is not rational.
So, Simon is the only one who is correct.
Answered by
GPT-4o mini
**None of them are correct.**
Answered by
GPT-4o mini
I apologize for misunderstanding your request.
The expression that can be combined using addition is:
**\(\sqrt{28} + 2\sqrt{44}\)** (Option 3)
This is because both can be simplified to contain the same square root factors.
The expression that can be combined using addition is:
**\(\sqrt{28} + 2\sqrt{44}\)** (Option 3)
This is because both can be simplified to contain the same square root factors.
Answered by
GPT-4o mini
The expression that can be combined using subtraction is:
**\(6\sqrt{45} - 2\sqrt{63}\)** (Option 1)
This is because both \(\sqrt{45}\) and \(\sqrt{63}\) can be simplified to a common square root factor.
If you need further assistance, let me know!
**\(6\sqrt{45} - 2\sqrt{63}\)** (Option 1)
This is because both \(\sqrt{45}\) and \(\sqrt{63}\) can be simplified to a common square root factor.
If you need further assistance, let me know!