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Math Help - Squaring Radicals

  1. #1
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    Squaring Radicals

    Can someone explain the steps to squaring a radical similar to the one below?

    2√3


    Also, if I were to square: 9x/3 , what steps would I take?

    Thanks.
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  2. #2
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    Quote Originally Posted by smiffstarr View Post
    Can someone explain the steps to squaring a radical similar to the one below?

    2√3


    Also, if I were to square: 9x/3 , what steps would I take?

    Thanks.
    (ab)^2 = a^2b^2

    (2\sqrt3)^2 = 2^2 \cdot (\sqrt3)^2 = 12
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by smiffstarr View Post
    Can someone explain the steps to squaring a radical similar to the one below?

    2√3


    Also, if I were to square: 9x/3 , what steps would I take?

    Thanks.
    Hi smiffstarr,

    Remember, when you square a square root, you simply remove the radical sign.

    (2\sqrt{3})^2=2^2(\sqrt{3})^2=4(3)=12

    When you square a fraction, you square both the numerator and denominator, then simplify.

    \left(\frac{9x}{3}\right)^2=\frac{(9x)^2}{(3)^2}=\  frac{81x^2}{9}=9x^2
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  4. #4
    Super Member bigwave's Avatar
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    Quote Originally Posted by smiffstarr View Post
    Can someone explain the steps to squaring a radical similar to the one below?

    2√3


    Also, if I were to square: 9x/3 , what steps would I take?

    Thanks.
    by this do you mean:
     <br /> <br />
\left(2\sqrt{3}\right)^2<br />

    if so the rule is

     <br />
\left(xy\right)^a = x^{a}y^{a}<br />

    so

     <br />
\left(2\sqrt{3}\right)^2 = 2^{2}\left(\sqrt3\right)^{2} = 4(3) = 12<br />
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  5. #5
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    Thanks a lot! That helped me out!
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