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Zink96

  • 2 years ago

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

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  1. philo1234
    • 2 years ago
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    \[\frac{ 2\sqrt{3} }{ \sqrt{10} }\] is this the question?

  2. Zink96
    • 2 years ago
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    Yes

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

  4. philo1234
    • 2 years ago
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    This simplifies to: \[\frac{ 2\sqrt{30} }{ \sqrt{100} }\]

  5. philo1234
    • 2 years ago
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    What is the square root of 100?

  6. Zink96
    • 2 years ago
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    50? Im not quite sure...

  7. philo1234
    • 2 years ago
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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

  8. Zink96
    • 2 years ago
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    10

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

  10. Zink96
    • 2 years ago
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    2 sqrt 3 over 5?

  11. philo1234
    • 2 years ago
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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 - \[\frac{ \sqrt{30} }{ 5 }\]

  12. philo1234
    • 2 years ago
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    Do you understand how I got this?

  13. Zink96
    • 2 years ago
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    Oh Okay... yeah i got it now, thanks!

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