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3 years ago

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On a road trip in Motanna, USA, Elise sees a road sign that says Helena 87. Elise tests the accuracy of her cars odometer and tr

acks the distance she drove from that sign to helenas city limits. HEr odometer showed 142km. IS the odometer accurate? Explain

1 answer:

mote1985 [20]3 years ago

8 0

Answer:

No i dont think so but im not sure

Step-by-step explanation:

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Answer:

Prime Factorization of 576

$576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

Prime Factorization of 64

$64=2\times 2\times 2\times 2\times 2\times 2$

The Expression in simplest form is

$\sqrt{\dfrac{576}{64} }=\dfrac{3}{1}$

Step-by-step explanation:

Simplify:

$\sqrt{\dfrac{576}{64} }$

Now,

Prime Factorization of 576

$576=2\times 288\\576=2\times 2\times 144\\576=2\times 2\times 2\times 72\\576=2\times 2\times 2\times 2\times 36\\576=2\times 2\times 2\times 2\times 2\times 18\\576=2\times 2\times 2\times 2\times 2\times 2\times 9\\576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

Prime Factorization of 64

$64=2\times 32\\64=2\times 2\times 16\\64=2\times 2\times 2\times 8\\64=2\times 2\times 2\times 2\times 4\\64=2\times 2\times 2\times 2\times 2\times 2$

Now,

$\sqrt{\dfrac{576}{64} }=\sqrt{\dfrac{2\times 2\times 2\times 2\times 2\times 2\times 3\times 3}{2\times 2\times 2\times 2\times 2\times 2} }\\ \sqrt{\dfrac{576}{64} }=\sqrt{\dfrac{3\times 3}{1}}\\\therefore \sqrt{\dfrac{576}{64} }=3$

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$\sqrt{\dfrac{576}{64} }=\dfrac{3}{1}$

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