What type of number will result from multiplying −8–√

Question

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

Answer 1

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.

Answer 2

that was wrong, it was irrational

Answer 3

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.

Answer 4

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

Answer 5

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.

Answer 6

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−−

Answer 7

None of them are correct.

Answer 8

I didnt ask you that, answer the question

Answer 9

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.

Answer 10

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−−

Answer 11

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!