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Math Help - Square root question

  1. #1
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    Square root question

    I don't know how to mark this correctly, but I'll try

    Square root V10^2^3

    How do I count that one?

    Thanks!
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  2. #2
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    Square Root

    Hello WendyM
    Quote Originally Posted by WendyM View Post
    I don't know how to mark this correctly, but I'll try

    Square root V10^2^3

    How do I count that one?

    Thanks!
    I'm not sure exactly what you mean by this. I'm assuming that the letter V is supposed to look like a square root sign. Is that it? If it is, then the question could be

    \sqrt{(10^2)^3}

    in which case you use the rule that

    (x^a)^b = x^{ab} and write it as

    \sqrt{10^{2\times 3}} = \sqrt{10^6} =10^3

    Or it could be

    \sqrt{10^{2^3}} = \sqrt{10^8} = 10^4

    Or is it something else?

    Grandad
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  3. #3
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    Quote Originally Posted by WendyM View Post
    I don't know how to mark this correctly, but I'll try

    Square root V10^2^3

    How do I count that one?

    Thanks!
    I assume that you use the capital V as the root sign(?). If so: "Translate" the square root by the exponent \frac12:

    \left(\sqrt{10^2}\right)^3 = \left( \left(10^2\right)^{\frac12}\right)^3 = 10^{2 \cdot \frac12 \cdot 3} = 10^3
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