anonymous
  • anonymous
Simplify the square root of 32/5
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1349986848947:dw|
Venomblast
  • Venomblast
you can split the the square root of 32 into \[\sqrt{16} and \sqrt{2}\]. square root of 16 is 4. so you will have \[4\sqrt{2}/\sqrt{5}. now we have a radical on the denominator. we dont want that. you will need to rationalize.
Venomblast
  • Venomblast
|dw:1349987011151:dw|

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Venomblast
  • Venomblast
square root of 4 is 2. so you will have\[4*2\sqrt{5}/5\]
anonymous
  • anonymous
|dw:1349987270081:dw| could help explain this one too?
Venomblast
  • Venomblast
im sorry the answer is \[4\sqrt{10}/5\]
Venomblast
  • Venomblast
you will need to rationalize. so you multiply the denominator and numerator by \[3+\sqrt{2}\]
Venomblast
  • Venomblast
|dw:1349987470404:dw|
Venomblast
  • Venomblast
|dw:1349987517152:dw|
Venomblast
  • Venomblast
simplify it. and you will get \[3+\sqrt{2}\]
anonymous
  • anonymous
\[\sqrt{x-2}-4=0\]
Venomblast
  • Venomblast
add 4 to both side.then square both side
Venomblast
  • Venomblast
u should get x-2=16. add 2 and x = 18
anonymous
  • anonymous
thanks soo much for your help!!

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