anonymous
  • anonymous
Simplify the radical. 4 square root of 20
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
would it be 400..
zzr0ck3r
  • zzr0ck3r
\(4\sqrt{20}=4\sqrt{4*5}=4\sqrt{4}\sqrt{5}\)
anonymous
  • anonymous
It cant be, these are the option, 5 to the square root of 16 5 to the square root of 8 8 to the square root of 5 16 to the square root of 5

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anonymous
  • anonymous
for \[4\sqrt{20}\] i got 17.88
anonymous
  • anonymous
But that is not one of the options. @emily_wilson
anonymous
  • anonymous
I see that
anonymous
  • anonymous
Then what would it be?
anonymous
  • anonymous
|dw:1441655707709:dw|
anonymous
  • anonymous
That isnt and option either.
anonymous
  • anonymous
Do you know how to multiply?
anonymous
  • anonymous
no
PinkSapphire
  • PinkSapphire
\[8\sqrt{5}\]
PinkSapphire
  • PinkSapphire
This is how you do it.\[4\sqrt{20}\]Find the greatest factors of 20. \[4\sqrt{4\times5}\]You can take out the 4 from the square root and it will turn into 2. \[4\times 2\sqrt{5}\]Now multiply 4 times 2. \[8\sqrt{5}\]This is in the simplest form it can be.
PinkSapphire
  • PinkSapphire
Do you understand what I did?
zzr0ck3r
  • zzr0ck3r
If you do not know that \(\sqrt{4}=2\) and that \(4*2=8\), I think it would be a good idea to go back and study some old stuff. Else this will not make any sense to you.

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