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Maddiie

In a paragraph, describe how to simplify each expression. 16 1/2 Square root 100

  • 2 years ago
  • 2 years ago

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  1. Harkirat
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    ????????? why don't u use the equation box to write yr question...

    • 2 years ago
  2. Maddiie
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    In a paragraph, describe how to simplify each expression. 16 1/2 \[\sqrt{100}\]

    • 2 years ago
  3. Harkirat
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    is the first one \[16^{1/2}\] ???

    • 2 years ago
  4. Maddiie
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    yes

    • 2 years ago
  5. Harkirat
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    pls note that \[x ^{1/2} = \sqrt{x}\]

    • 2 years ago
  6. Maddiie
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    why is that

    • 2 years ago
  7. Harkirat
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    okay I will explain thru an example...

    • 2 years ago
  8. Maddiie
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    ok awesome

    • 2 years ago
  9. Harkirat
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    u know that \[\sqrt{4}= 2\] also \[(4)^{1/2} = (2^{2})^{1/2} = 2^{2*1/2} = 2^{1}=2\]

    • 2 years ago
  10. Harkirat
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    so we find that \[\sqrt{4} = (4)^{1/2}\] because both give same result i.e. 2

    • 2 years ago
  11. Maddiie
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    \[({8}^2)\]

    • 2 years ago
  12. Maddiie
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    confused

    • 2 years ago
  13. Harkirat
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    so we can solve the first one as \[(16)^{1/2} = (4^{2})^{1/2} = 4^{2*1/2} = 4^{1}=4\]

    • 2 years ago
  14. Harkirat
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    what is confusing u???

    • 2 years ago
  15. Maddiie
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    Oh because 4x4=16 right

    • 2 years ago
  16. Harkirat
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    yes

    • 2 years ago
  17. Maddiie
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    So \[\sqrt{100}= 10 \]

    • 2 years ago
  18. heromiles
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    You might want to introduce and include rules of exponents and roots as part of your explanation.

    • 2 years ago
  19. Harkirat
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    yes that is correct

    • 2 years ago
  20. Maddiie
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    ok i understood the steps now

    • 2 years ago
  21. Maddiie
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    ok i understood the steps now

    • 2 years ago
  22. Harkirat
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    see square and root are opposite operations. so when they occur together, they cancel each other out.... we can show the working for root100 as follows : \[\sqrt{100}=\sqrt{10^{2}}=10\] the square inside and root outside cancel each other out

    • 2 years ago
  23. Harkirat
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    are u familiar with exponential laws???

    • 2 years ago
  24. Maddiie
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    makes sense

    • 2 years ago
  25. Maddiie
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    not really but i can try to find it in my book

    • 2 years ago
  26. Harkirat
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    yes, u shud have all the laws in front of you and slowly try to learn them by heart....

    • 2 years ago
  27. Maddiie
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    ok thank u

    • 2 years ago
  28. Harkirat
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    u r welcome, just keep in mind... \[\sqrt{x}=x ^{1/2}\] \[\sqrt[3]{x}=x ^{1/3}\] \[\sqrt[4]{x}=x ^{1/4}\] and so on....

    • 2 years ago
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