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# Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: \$\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\l

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Express$$\sqrt{x}$$ ÷$$\sqrt{y}$$ as a common fraction, given:

$$((1/2)^2+(1/3)^2)/(1/4)^2+(1/5)^2$$=$$13x/41y$$

It's due in 10 minutes so could you please hurry!!!!! Thank you so much! Also can you explain what you do so I can learn from it. Thanks again!!! :)

Nov 24, 2020

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(1/2)2+(1/3)2=13x solve for x

(1/4)2+(1/5)2=41y solve for y

1/4+1/9=13x

1/16+1/25=41y

13/36=13x

41/400=41y

1/36=x

1/400=y

√(1/36) / √(1/400) = (1/6) / (1/20)

20/6 or 10/3

Nov 25, 2020