## anonymous one year ago 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 .

1. anonymous

what is the equation?

2. anonymous

or product? it is not so clear

3. anonymous

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

4. anonymous

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.

5. anonymous

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

6. anonymous

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

7. anonymous

For example, rational number would be $\sqrt{25} = 5$ An irrational number on the other hand would be something like$\sqrt{2}$

8. anonymous

5 more min :/

9. anonymous

So now to our equation. $\sqrt{2} (3 \sqrt{2}+\sqrt{18})$ We can first simplify the 18. Do you know how?

10. anonymous

hello?

11. anonymous

no

12. anonymous

2 min :O

13. anonymous

10 secs my mom is counting down on me :/

14. anonymous

-_- 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? $\sqrt{3\times3\times2} = \sqrt{18}$

15. anonymous

based on that, 3 can be taken out, because it is square root. so now we have $\sqrt{2}(3\sqrt{2}+3\sqrt{2})$

16. anonymous

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