anonymous
  • anonymous
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 .
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
what is the equation?
anonymous
  • anonymous
or product? it is not so clear
anonymous
  • anonymous
sorry lol the slashes are supposed to be square roots :)

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anonymous
  • 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.
anonymous
  • anonymous
So do you know what irrational and rational numbers in your case are?
anonymous
  • 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
anonymous
  • anonymous
For example, rational number would be \[\sqrt{25} = 5\] An irrational number on the other hand would be something like\[\sqrt{2}\]
anonymous
  • anonymous
5 more min :/
anonymous
  • anonymous
So now to our equation. \[\sqrt{2} (3 \sqrt{2}+\sqrt{18})\] We can first simplify the 18. Do you know how?
anonymous
  • anonymous
hello?
anonymous
  • anonymous
no
anonymous
  • anonymous
2 min :O
anonymous
  • anonymous
10 secs my mom is counting down on me :/
anonymous
  • 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? \[\sqrt{3\times3\times2} = \sqrt{18}\]
anonymous
  • anonymous
based on that, 3 can be taken out, because it is square root. so now we have \[\sqrt{2}(3\sqrt{2}+3\sqrt{2})\]
anonymous
  • anonymous
Well she is apparently not interested in learning, so i am moving on.

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