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anonymous

  • one year ago

@dumbcow

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  1. anonymous
    • one year ago
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  2. dumbcow
    • one year ago
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    do you know pythagorean thm ?

  3. anonymous
    • one year ago
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    Yea, for the most part.

  4. dumbcow
    • one year ago
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    ok |dw:1440520824213:dw|

  5. anonymous
    • one year ago
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    So I tried subtracting 9^2 by 5^2 and got 56.. I'm not sure what I've done wrong...

  6. dumbcow
    • one year ago
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    no thats right ... 81-25 = 56 now you have to take sqrt to solve for x \[x^2 = 56\] \[x = \sqrt{56}\]

  7. anonymous
    • one year ago
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    I got 7.5 and it's not an option...

  8. dumbcow
    • one year ago
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    right be careful, notice the answer choices leave as radical not decimal also we want Area, so we are not done \[Area = 5*x = 5 \sqrt{56}\]

  9. dumbcow
    • one year ago
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    can you simplify the radical by factoring out a perfect square

  10. anonymous
    • one year ago
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    No. I have no clue what that even means o.o (I'm sorry I'm so horrible at this >.<)

  11. dumbcow
    • one year ago
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    thats ok the goal is to get the number inside the radical(sqrt) as small as possible the only way to get rid of sprt is by having a perfect square .... 4,9,16,25... example: \[\sqrt{9} = \sqrt{3^2} = 3\] also you can split up a sqrt into smaller factors example: \[\sqrt{45} = \sqrt{9*5} = \sqrt{9} \sqrt{5} = 3 \sqrt{5}\] notice once you break it into sqrt9 and sqrt5 , you can get rid of sqrt9 because it equals 3

  12. anonymous
    • one year ago
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    so how do I do that with 56... I don't understand

  13. dumbcow
    • one year ago
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    split it up ... like 45 has factors 9 and 5 what are factors of 56 .... try dividing by 4,9,16,25 etc

  14. anonymous
    • one year ago
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    1,2,4,7,8,14,28,56,

  15. dumbcow
    • one year ago
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    yes look for perfect squares.... the only one is 4 4 pairs with 14 \[\sqrt{56} = \sqrt{4*14} = \sqrt{4} \sqrt{14}\]

  16. anonymous
    • one year ago
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    ..so my answer would be 14?

  17. dumbcow
    • one year ago
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    no dont try to jump ahead and just match a number to one of the answer choices we want AREA of rectangle with sides 5 and sqrt(56) we factored 56 into 4 and 14 \[\sqrt{56} = \sqrt{4} \sqrt{14} = 2 \sqrt{14}\] Last multiply the 2 sides of rectangle to get AREA \[Area = 5 * \sqrt{56} = 5 * 2 \sqrt{14} = 10 \sqrt{14}\]

  18. anonymous
    • one year ago
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    Oh, okay. I think I get it now. Thanks.

  19. dumbcow
    • one year ago
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    yw keep working on simplifying radicals

  20. dumbcow
    • one year ago
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    gotta go :)

  21. anonymous
    • one year ago
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    Ok have a good day

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