anonymous
  • anonymous
Find the value of 2 times the square root of 3, all over the sqaure root of 10 in simplest form.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
\[\frac{ 2\sqrt{3} }{ \sqrt{10} }\] is this the question?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Rationalize the denominator, by multiplying the numerator and denominator by the radical in the denominator: \[\frac{ 2\sqrt{3} *\sqrt{10}}{ \sqrt{10}*\sqrt{10} }\]

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anonymous
  • anonymous
This simplifies to: \[\frac{ 2\sqrt{30} }{ \sqrt{100} }\]
anonymous
  • anonymous
What is the square root of 100?
anonymous
  • anonymous
50? Im not quite sure...
anonymous
  • anonymous
What number can you square to give you 100? or what number can u multiply by itself to give you 100
anonymous
  • anonymous
10
anonymous
  • anonymous
good so now we have:\[\frac{ 2\sqrt{30} }{ 10 }\] Can you simplify this and tell me what you got?
anonymous
  • anonymous
2 sqrt 3 over 5?
anonymous
  • anonymous
Nope you can only divide a radical by a radical. Therefore it is incorrect to divide 30 by 10. But you can simplify the numbers that are not radicals, by dividing 2 by 2 in the numerator and 10 by 2 in the denominator: You should get as your answer - \[\frac{ \sqrt{30} }{ 5 }\]
anonymous
  • anonymous
Do you understand how I got this?
anonymous
  • anonymous
Oh Okay... yeah i got it now, thanks!

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