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Zink96 Group Title

Find the value of 2 times the square root of 3, all over the sqaure root of 10 in simplest form.

  • one year ago
  • one year ago

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  1. philo1234 Group Title
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    \[\frac{ 2\sqrt{3} }{ \sqrt{10} }\] is this the question?

    • one year ago
  2. Zink96 Group Title
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    Yes

    • one year ago
  3. philo1234 Group Title
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    Rationalize the denominator, by multiplying the numerator and denominator by the radical in the denominator: \[\frac{ 2\sqrt{3} *\sqrt{10}}{ \sqrt{10}*\sqrt{10} }\]

    • one year ago
  4. philo1234 Group Title
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    This simplifies to: \[\frac{ 2\sqrt{30} }{ \sqrt{100} }\]

    • one year ago
  5. philo1234 Group Title
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    What is the square root of 100?

    • one year ago
  6. Zink96 Group Title
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    50? Im not quite sure...

    • one year ago
  7. philo1234 Group Title
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    What number can you square to give you 100? or what number can u multiply by itself to give you 100

    • one year ago
  8. Zink96 Group Title
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    10

    • one year ago
  9. philo1234 Group Title
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    good so now we have:\[\frac{ 2\sqrt{30} }{ 10 }\] Can you simplify this and tell me what you got?

    • one year ago
  10. Zink96 Group Title
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    2 sqrt 3 over 5?

    • one year ago
  11. philo1234 Group Title
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    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 - \[\frac{ \sqrt{30} }{ 5 }\]

    • one year ago
  12. philo1234 Group Title
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    Do you understand how I got this?

    • one year ago
  13. Zink96 Group Title
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    Oh Okay... yeah i got it now, thanks!

    • one year ago
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