What is the following quotient? Square root of 120/square root of 30

What is the following quotient?

Square root of 120/square root of 30

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This Post Has 6 Comments

  1. The square root of 120 is 10.9545.

    The square root of 30 is 5.47723.

    10.9545 divided by 5.47723 is approximately 2.0000073

  2. 2

    Step-by-step explanation:

    Rationalize the denominator to solve this:

    [tex]\frac{\sqrt{120} }{\sqrt{30} } *\frac{\sqrt{30} }{\sqrt{30} }[/tex]

    When you multiply out the denominator, you get 30, which is why we do this.  The product of the numerator is the square root of 3600 which is a perfect square.  60 * 60 = 3600.  Therefore, the quotient is 60 / 30 = 2

  3. [tex]x^{3}y^{3}\sqrt{(\frac{3}{5})y}[/tex]

    Step-by-step explanation:

    we have

    [tex]\sqrt{\frac{3x^{12}y^{10}}{5x^{6}y^{3}}}[/tex]

    Rewrite the expression

    we know that

    [tex]\frac{3x^{12}y^{10}}{5x^{6}y^{3}} =(\frac{3}{5})(\frac{x^{12}}{x^{6}})(\frac{y^{10}}{y^{3}})[/tex]

    simplify

    [tex](\frac{3}{5})(\frac{x^{12}}{x^{6}})(\frac{y^{10}}{y^{3}})=(\frac{3}{5})x^{6}y^{7}[/tex]

    substitute

    [tex]\sqrt{(\frac{3}{5})x^{6}y^{7}}=x^{3}y^{3}\sqrt{(\frac{3}{5})y}[/tex]

  4. the answer would be 2 square root of 3

    [tex]What is the follwoing quotient? square root of 96 divided by square root of 8[/tex]

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