anonymous
  • anonymous
The square root of 5 +the square root of 80 = the square root of 5 + square root of 16 times 5 = the square root + 4 and the square root of 5 = 5 and the square root of 5. I am willing to offer medals if who ever helps me is willing to help with a few other problems tomorrow and also explain the process. I will give you medals for each individual problem if you become a fan and help me out with these Radicals and Complex Numbers. Thanks!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
√(5) + √(80) = √(5) + √(16*5) = √(5) + __ √(5) = __ Here is a visual of my problem
jim_thompson5910
  • jim_thompson5910
You use the rule \[\Large \sqrt{x*y} = \sqrt{x}*\sqrt{y}\]
jim_thompson5910
  • jim_thompson5910
so, \[\Large \sqrt{16*5} = \sqrt{16}*\sqrt{5}\] \[\Large \sqrt{16*5} = ??\]

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anonymous
  • anonymous
I guess? Im super confused I haven't worked on a problem like this in a while. If your familiar with my math lab then that's where I've gotten this problem from.
anonymous
  • anonymous
if you can explain the process of how you get the answer too then that will be great as well.
jim_thompson5910
  • jim_thompson5910
what is the square root of 16 equal to?
anonymous
  • anonymous
the square root of 4 then the square root of 2
jim_thompson5910
  • jim_thompson5910
the square root of 16 is 4 once you take the square root, the square root symbol goes away
jim_thompson5910
  • jim_thompson5910
\[\Large \Large \sqrt{16*5} = \sqrt{16}*\sqrt{5}\] \[\Large \Large \sqrt{16*5} = 4\sqrt{5}\]
anonymous
  • anonymous
THe answer is supposed to be 5 on the square root of 5 im just confused on why that is the answer and how they are getting the answer so that I can other questions like one
anonymous
  • anonymous
5√(5)
jim_thompson5910
  • jim_thompson5910
so do you see how \[\Large \Large \sqrt{16*5} = 4\sqrt{5}\] ??
anonymous
  • anonymous
you took the square root of each one individually right?
jim_thompson5910
  • jim_thompson5910
yes, the square root of 16 is 4 the square root of 5 is some decimal, so we leave that alone
jim_thompson5910
  • jim_thompson5910
so, \[\Large \sqrt{5}+\sqrt{16*5} = \sqrt{5}+4\sqrt{5}\]
anonymous
  • anonymous
yes bc its prime
jim_thompson5910
  • jim_thompson5910
there is a 1 in front of that first sqrt(5) term \[\Large \sqrt{5}+4\sqrt{5} = 1\sqrt{5}+4\sqrt{5}\]
jim_thompson5910
  • jim_thompson5910
the last step is to add the numbers outside the root 5 terms 1+4 = 5 think of it as 1x+4x = 5x where x is equal to sqrt(5)
anonymous
  • anonymous
oh okay i think i get it.
jim_thompson5910
  • jim_thompson5910
so you see how \[\Large 1\sqrt{5}+4\sqrt{5} = 5\sqrt{5}\] ?
anonymous
  • anonymous
yes I got the correct answer on another problem! thank you!! will you be on tomorrow?
jim_thompson5910
  • jim_thompson5910
yes I'll be online tomorrow
jim_thompson5910
  • jim_thompson5910
and I'm glad to be of help and that it's making more sense now
anonymous
  • anonymous
if so i will give you several other medals for each problem that i have
anonymous
  • anonymous
perfect!! okay tomorrow i will put on a few other problems for us to work with see ya tomorrow jim_thompson5910
jim_thompson5910
  • jim_thompson5910
ok sounds good, have a good day/night

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