anonymous
  • anonymous
Medal & fan & testimonial for help with this question! Simplify: sqrt75 -4 sqrt8 -3 sqrt32?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@AaronAndyson @AllanO-the-great @Anaise @Alex_Mattucci @angelnicole @Aileennx3 @bubblysmiles24 @BAdhi @BrandonR @bgrundstrom @babylove2015 @CallMeKiki @Catseyeglint911 @clamin @chainedecho @Directrix
anonymous
  • anonymous
@zepdrix
misty1212
  • misty1212
HI!!

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anonymous
  • anonymous
Hey, @misty1212 ! Could you help me out?(:
misty1212
  • misty1212
\[\huge\sqrt{75}-4\sqrt{8}-3\sqrt{32}\]?
anonymous
  • anonymous
Yes ma'am!
misty1212
  • misty1212
ok which one you want to do first?
misty1212
  • misty1212
nvm how about the first one
anonymous
  • anonymous
Its the whole thing that I have to simplify
misty1212
  • misty1212
\[\sqrt{75}=\sqrt{25\times 3}\] right?
anonymous
  • anonymous
Yes
misty1212
  • misty1212
that means \[\sqrt{75}=\sqrt{25}\times \sqrt{3}=5\times \sqrt{3}\] for the first one
anonymous
  • anonymous
Ohh!!
misty1212
  • misty1212
lets move on to the next one
misty1212
  • misty1212
\[\sqrt{8}=\sqrt{4\times 2}\]yes?
anonymous
  • anonymous
Yes, so 2 sqrt2?
misty1212
  • misty1212
bingo
misty1212
  • misty1212
so far we are at \[5\sqrt{3}-8\sqrt{2}\] the \(-8\) because it started at \(-4\sqrt{8}\)
anonymous
  • anonymous
Ohh okay
misty1212
  • misty1212
last one is \(-3\sqrt{32}\) which is the same as \[-3\sqrt{16\times 2}\]
misty1212
  • misty1212
then since \(\sqrt{16}=4\) you have \[-3\sqrt{16}\sqrt{2}=-3\times 4\times \sqrt{2}=-12\sqrt2\]
misty1212
  • misty1212
putting it all together (we are still not done) you get \[5\sqrt{3}-8\sqrt2-12\sqrt2\]
anonymous
  • anonymous
this is called "simplest radical form" btw
misty1212
  • misty1212
now combine like terms, since the last two both have a \(\sqrt2\) final answer is \[5\sqrt3-20\sqrt2\]
anonymous
  • anonymous
Okay, so would my final answer be 960 sqrt3
misty1212
  • misty1212
@satellite73 stop commenting and start helping !
anonymous
  • anonymous
Whaaat :/
anonymous
  • anonymous
no that is not the final answer
anonymous
  • anonymous
\[5\sqrt3-20\sqrt2\] is , as @misty1212 said
anonymous
  • anonymous
that is because \[-8\sqrt2-12\sqrt2=-20\sqrt2\]
anonymous
  • anonymous
ohhh we dont multiply.. and why does the 2 stay in the sqrt when there are two of them? Shouldnt it just canel out to be 2?
anonymous
  • anonymous
the first term has a \(\sqrt3\) in it, you can't combine it with the other two
anonymous
  • anonymous
good question! because you are adding (subtracting actually) not multiplying
anonymous
  • anonymous
it is like \[5x-8y-12y=5x-20y\] same idea you aren't multiplying anything, just combining like terms
anonymous
  • anonymous
Ohhh okay, makes sense! Thanks so much @satellite73 & @misty1212 !
anonymous
  • anonymous
yw
misty1212
  • misty1212
\[\color\magenta\heartsuit\]

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