anonymous
  • anonymous
1/2 √8/50
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
I cant make heads nor tails of what this is supposed to be asking :/
anonymous
  • anonymous
it is one half times the square root of 8 over 50 the radical is all over 8 over 50
amistre64
  • amistre64
1/2 * sqrt(8/50) or 1/(2*sqrt(8/50)?

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More answers

anonymous
  • anonymous
1/2 * sqrt(8/50)
amistre64
  • amistre64
The calculator gives an answer of .2 :)
anonymous
  • anonymous
i need it in radical form
amistre64
  • amistre64
1/2 * sqrt(8/50) = sqrt(8)/2sqrt(50) sqrt(8*50)/(2*50)=sqrt(480)/100 Now what can we pull out of 480? 16*30 4sqrt(30)/100 sqrt(30)/25 Thats what I come up with :)
amistre64
  • amistre64
doh! 50*8= 400 not 480
amistre64
  • amistre64
sqrt(400)/100 = 20/100 = 2/10 = .2
anonymous
  • anonymous
NOO! that doesn't make sense. why would multiply 8 by 50?
amistre64
  • amistre64
No radicals are allowed on the bottom of a fraction so we have to multiply by sqrt(50)/sqrt(50) to put it up top. sqrt(8) * sqrt(50) = sqrt(8*50) = sqrt(400)
anonymous
  • anonymous
but wouldn't it be 400/50? =8 x 1/2? =4??
amistre64
  • amistre64
the top of the fraction becomes: 1* sqrt(8) * sqrt(50) = sqrt(400) = 20 the bottom of the fraction becomes: 2* sqrt(50) * sqrt(50) = 2*50 = 100 20/100 = 2/10
anonymous
  • anonymous
are you sure?
amistre64
  • amistre64
as long as 8*50= 400 then I am sure :)
anonymous
  • anonymous
ohk because this is on my test tomorrow and i really do not want to get it wrong
amistre64
  • amistre64
Do you understand how I got the answer?
anonymous
  • anonymous
yes because you have to rationalize because no radicals can be on the bottom! yay haha thank you. but i have another question.. 6√8 x 7√2.... 6√8 simplifies to 12√2, so does the answer become 19√2 or 84√2?
amistre64
  • amistre64
Lets look at that this way: 6*7*sqrt(8)*sqrt(2)=42*sqrt(8*2) 42*sqrt(16)= 42*4 = 168
anonymous
  • anonymous
these answers have to be in radical form though. all you have to do is simplify so would it be 19√2 or 84√2, i don't think my teacher would accept that
amistre64
  • amistre64
If the problem is addition than you end up with a radical. But, when you multiply radicals, the numbers underneath like radicals multiply together. If that number is a perfect product for that radical, the radical disappears. sqrt(3)*sqrt(3) = sqrt(9)=3.
anonymous
  • anonymous
If you square the problem statement and simplify you will get the fraction 1/25 The square root of 1/25 is 1/5
anonymous
  • anonymous
im so confused...
amistre64
  • amistre64
What part are you confused about, I am pretty good at this stuff :)
anonymous
  • anonymous
nevermind i think i got it. i didn't realize that you multiply the 84 by 2
amistre64
  • amistre64
Do you know why you multiply 84 by 2?
anonymous
  • anonymous
because both of the 2s are in radicals
amistre64
  • amistre64
good :) and: sqrt(2) * sqrt(2) = sqrt(2*2) = sqrt(4) = 2. right?
anonymous
  • anonymous
possibly..
amistre64
  • amistre64
LOL, you'll do fine :)
anonymous
  • anonymous
i hope so! thank you for your help!
anonymous
  • anonymous
what about this one? the sides of a rectangle is the square root of 14 and the square root of 20.. what is the area?
amistre64
  • amistre64
Might be a little late, but... the Area of a rectangle can be figured out by multiplying the length by the width (A=L*W). A=sqrt(20) * sqrt(14) = 2*sqrt(5)*sqrt(14) = 2*sqrt(70). What are the factors of 70: (1)(70), (2)(35), (5)(14), (7)(10). None of these are "perfect" squares so there is nothing we can take out. So, the answer is: 2*sqrt(70).

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