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Maddiie

  • 3 years ago

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

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

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

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

  4. Maddiie
    • 3 years ago
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    yes

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

  6. Maddiie
    • 3 years ago
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    why is that

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

  8. Maddiie
    • 3 years ago
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    ok awesome

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

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

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

  12. Maddiie
    • 3 years ago
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    confused

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

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

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

  16. Harkirat
    • 3 years ago
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    yes

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

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

  19. Harkirat
    • 3 years ago
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    yes that is correct

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

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

  22. Harkirat
    • 3 years ago
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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

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

  24. Maddiie
    • 3 years ago
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    makes sense

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

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

  27. Maddiie
    • 3 years ago
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    ok thank u

  28. Harkirat
    • 3 years ago
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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....

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