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Math Help - Radical Expressions with 2 variables

  1. #1
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    Radical Expressions with 2 variables

    Hello. I'm just helping a friend, and it's been so long since I've had this. I don't know how to write a square root sign, so it's sqrt.

    Sqrt x
    ------- (over)

    3 Sqrt x - sqrt y


    Is this as simplified as it can be? If it's possible to see the steps, or to be pointed to a resource to see the steps, I know it'll come back to me. Thank you!
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  2. #2
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    Quote Originally Posted by ForgottenMyMath View Post
    Hello. I'm just helping a friend, and it's been so long since I've had this. I don't know how to write a square root sign, so it's sqrt.

    Sqrt x
    ------- (over)

    3 Sqrt x - sqrt y


    Is this as simplified as it can be? If it's possible to see the steps, or to be pointed to a resource to see the steps, I know it'll come back to me. Thank you!

    You can rationalise

    \frac{\sqrt{x}}{3\sqrt{x}-\sqrt{y}} \cdot \frac{3\sqrt{x}+\sqrt{y}}{3\sqrt{x}+\sqrt{y}}

    \frac{3x+\sqrt{xy}}{(3\sqrt{x})^2-(\sqrt{y})^2}


    \frac{3x+\sqrt{xy}}{9x-y}
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  3. #3
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    Thank you!
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