Question

Which statement is true about the product
/2 (3 /2+/18
A. It is rational and equal to 12.
B. It is rational and equal to 18.
C. It is irrational and equal to 6 + 2 /18 .
D. It is irrational and equal to 3 + /18 .

Answer 1

what is the equation?

Answer 2

or product? it is not so clear

Answer 3

sorry lol the slashes are supposed to be square roots :)

Answer 4

Okay. Let us see then.
To do this question we need to know two things. What is irrational and rational, and how do we simplify rational expressions.

Answer 5

So do you know what irrational and rational numbers in your case are?

Answer 6

no lol and my mom only gave me 10 min to finish my hw and i still have a lot pls help as fast as you can plssss

Answer 7

For example, rational number would be \[\sqrt{25} = 5\]

An irrational number on the other hand would be something like\[\sqrt{2}\]

Answer 8

5 more min :/

Answer 9

So now to our equation.

\[\sqrt{2} (3 \sqrt{2}+\sqrt{18})\]

We can first simplify the 18. Do you know how?

Answer 10

hello?

Answer 11

no

Answer 12

2 min :O

Answer 13

10 secs my mom is counting down on me :/

Answer 14

-_- christ.

I am not going to help you by giving you only single answers.

So back to our question.

To simplify\[\sqrt{18}\]

we break it down inside. Remember prime factorization?

\[\sqrt{3\times3\times2} = \sqrt{18}\]

Answer 15

based on that, 3 can be taken out, because it is square root.

so now we have
\[\sqrt{2}(3\sqrt{2}+3\sqrt{2})\]

Answer 16

Well she is apparently not interested in learning, so i am moving on.