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  • 10-10-2019
  • Mathematics
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What is the follwoing quotient? square root of 120 divided by square root of 30

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Luv2Teach
Luv2Teach Luv2Teach
  • 10-10-2019

Answer:

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

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