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LaurenAshley1201

  • 2 years ago

help :) multiply expression

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  1. LaurenAshley1201
    • 2 years ago
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    \[2\sqrt{6}\times \sqrt{10}\]

  2. Calcmathlete
    • 2 years ago
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    Multiply them seperately... \[2\sqrt6 \times \sqrt{10} \implies 2\sqrt{6 \times 10} \implies 2 \sqrt{2 \times 3 \times 2 \times 5} \implies~?\]

  3. Calcmathlete
    • 2 years ago
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    Can you finish from there? Can you simplify the radical?

  4. violy
    • 2 years ago
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    |dw:1344751807375:dw| here is an example. :)

  5. waterineyes
    • 2 years ago
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    @merp it is better if you do it here by your own..

  6. waterineyes
    • 2 years ago
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    @LaurenAshley1201 \[\implies 2 \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5} = ??\]

  7. LaurenAshley1201
    • 2 years ago
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    2 sqrt 60? i dont think im doing it right

  8. waterineyes
    • 2 years ago
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    You can solve further for \(\sqrt{60}\)..

  9. LaurenAshley1201
    • 2 years ago
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    2 sqrt 15

  10. waterineyes
    • 2 years ago
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    \[\sqrt{60} = \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5}\] Can you go further..??

  11. violy
    • 2 years ago
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    think of a perfect square number that can go into 60.

  12. waterineyes
    • 2 years ago
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    Yes..

  13. waterineyes
    • 2 years ago
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    There is one 2 outside too..

  14. Calcmathlete
    • 2 years ago
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    We have broken 60 down into prime factors for you. Remember this? \[\sqrt{x \times x} = x\]Use the same rule...

  15. waterineyes
    • 2 years ago
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    \[2 \times 2 \sqrt{15} = ??\]

  16. violy
    • 2 years ago
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    do you mean sqrt (4 * 15) ?

  17. waterineyes
    • 2 years ago
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    No..

  18. LaurenAshley1201
    • 2 years ago
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    i dont know how to go any furhter

  19. waterineyes
    • 2 years ago
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    \(\sqrt{60}\) is how much ??

  20. waterineyes
    • 2 years ago
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    you have solved it above..

  21. waterineyes
    • 2 years ago
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    \[\sqrt{60} = \sqrt{\color{blue}{\underline{2 \times 2}} \times 3 \times 5} = ??\]

  22. violy
    • 2 years ago
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    its like sqrt( 5 x 5) = sqrt (25) = 5.

  23. waterineyes
    • 2 years ago
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    Where are you having problem @LaurenAshley1201

  24. violy
    • 2 years ago
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    let me give you an example: \[\sqrt{45}=\sqrt{3*3*5}=\sqrt{9} * \sqrt{5} = 3\sqrt{5}\]

  25. LaurenAshley1201
    • 2 years ago
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    sqrt of 60 is 2 sqrt 15

  26. violy
    • 2 years ago
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    you got it right now! :)

  27. waterineyes
    • 2 years ago
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    In square root you can pull out one from a pair like this: \[\sqrt{4 \times 4 \times 5}\] Here you can see there are two 4's. SO you can take one 4 outside and there will remain no 4 in the square root brackets: So it becomes; \[\sqrt{\color{green}{\underline{ 4 \times 4} \times 5}} \implies 4 \sqrt{5}\]

  28. Calcmathlete
    • 2 years ago
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    Ok. Do you understand this at the very least? \[\sqrt{3 \times 3} = \sqrt{3^2} = \sqrt{9} = 3\color{red}{\huge??????}\]

  29. LaurenAshley1201
    • 2 years ago
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    yes i do

  30. Calcmathlete
    • 2 years ago
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    THat's basically what you're doing here, it's just that you can make sense of it without showing all of the steps because you know the end result which is why we know that\[\sqrt{60} = \sqrt{2 \times 2 \times 3 \times 5} = 2\sqrt{15}\]

  31. waterineyes
    • 2 years ago
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    \[2 \sqrt{60} = 2 \times (2 \sqrt{15}) = ??\]

  32. LaurenAshley1201
    • 2 years ago
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    @Calcmathlete would that be my final answer?

  33. Calcmathlete
    • 2 years ago
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    Not quite...you forgot the 2 that was already out there... \[2 \times 2\sqrt{15} = ?\]

  34. violy
    • 2 years ago
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    not yet, example: \[3*(4\sqrt{5}) = 3*4\sqrt{5} = 12\sqrt{5}\]

  35. LaurenAshley1201
    • 2 years ago
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    i figuired it out,with everyones help ! thanks everyone

  36. Calcmathlete
    • 2 years ago
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    Glad to help :)

  37. violy
    • 2 years ago
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    my pleasure :)

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