anonymous
  • anonymous
PPPPLLLLLZZZZZ HHHHEEELLLPPPP!!!!!!!! giving out a medal what is the product of 2√u(√5+3√45)
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
do you mean 20√5u
anonymous
  • anonymous
because ur answer is not evan an option
anonymous
  • anonymous
Disregard my previous solution.

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anonymous
  • anonymous
ok then what is it?
anonymous
  • anonymous
I assume you want to find the result of the following: \[2 \sqrt{u} (\sqrt{5}+3\sqrt{45})\] right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
id also like if u could explain to me how u got it if thats alright with you
anonymous
  • anonymous
\[\sqrt{45} = \sqrt{9*5} = \sqrt{9}*\sqrt{5} = 3\sqrt{5}\]
anonymous
  • anonymous
thats not one of the anwsers options though :(
anonymous
  • anonymous
Wait please, I am trying to explain each one of the terms. Do you understand till now?
anonymous
  • anonymous
No
anonymous
  • anonymous
You have the square root of 45 in your expression. We have simplified that above to 3 times square root of 5. Do you understand that?
anonymous
  • anonymous
Sort of, u do the factor tree of 45 and your prime numbers will be 5,3,and 3 since there are two 3's one goes on the outside right?
anonymous
  • anonymous
Yeah, we have 3^2 in the square root, so it can be a 3 outside it
anonymous
  • anonymous
ok i got that part but what about the rest of the equation
anonymous
  • anonymous
So here it is. We said that \[\sqrt{45} = 3\sqrt{5}\] So we would have: \[2\sqrt{u}(\sqrt{5}+3\sqrt{45}) = 2\sqrt{u}(\sqrt{5}+3*3\sqrt{5}) = 2\sqrt{u}(\sqrt{5}+9\sqrt{5})\]
anonymous
  • anonymous
When you read this, tell me if you understand, so I will continue.
anonymous
  • anonymous
ok i think i understand all u do is multiply the outside 3 by the 3 being added to the 5 which gives you 9
anonymous
  • anonymous
All we did, is to replace the square root of 45, with 3 square root of 5, that we have found before and do the 3 times 3 multiplication
anonymous
  • anonymous
ok i got it
anonymous
  • anonymous
May I ask you know, if we add: \[\sqrt{5} + 9\sqrt{5}\] what would be the result?
anonymous
  • anonymous
would it be 9√10????
anonymous
  • anonymous
No. We have: \[\sqrt{5}+9\sqrt{5} = 1\sqrt{5}+9\sqrt{5}\] Let's say \[\sqrt{5}\] is an apple. So we would have: \[1 apple + 9 apples = ?\]
anonymous
  • anonymous
10 apples xD
anonymous
  • anonymous
Right. So 1 square root of 5 plus 9 square roots of 5 would be ?
anonymous
  • anonymous
10√10
anonymous
  • anonymous
or 10√5 because 5 are like term... one of those
anonymous
  • anonymous
Right! We said square root of 5 is an apple and we would have 10 apples. So we would have 10 square roots of 5! That is: \[\sqrt{5}+9\sqrt{5} = 10 \sqrt{5}\]
anonymous
  • anonymous
ok got it
anonymous
  • anonymous
So we can continue with the expression: \[2\sqrt{u}(\sqrt{5}+9\sqrt{5}) = 2\sqrt{u}(10\sqrt{5}) = 2*10*\sqrt{u}\sqrt{5}\] Ok with that?
anonymous
  • anonymous
so 20√u√5 would be the awnser right?
anonymous
  • anonymous
Right!
anonymous
  • anonymous
TY so much could u help me with another one though, if u want i can put another question up and u reply to that one so u can get another metal
anonymous
  • anonymous
I am sorry, but I will have to log off now. I am sure the other members will help you though! Have fun!
anonymous
  • anonymous
medal*
anonymous
  • anonymous
thnx anyway

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