Write in simplest radical form: √208

1 answer:

6 0

$208:2=104\\104:2=52\\52:2=26\\26:2=13\\13:13=1\\\\208=2\cdot2\cdot2\cdot2\cdot13=2^2\cdot2^2\cdot13\\\\\sqrt{208}=\sqrt{2^2\cdot2^2\cdot13}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{13}=2\cdot2\cdot\sqrt{13}=4\sqrt{13}\\\\Answer:\ \sqrt{208}=4\sqrt{13}\\\\Used:\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a^2}=a$

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Step-by-step explanation:

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Molodets [167]

Answer:

Part 1) The graph in the attached figure

Part 2) The value of s is approximately 45 km/sec

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function d=0.006s² represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph the function. Then use your graph to estimate the speed of the car if its braking distance is 12 meters

Part 1) Graph the function

Let

s ----> the speed in kilometers per second

d ----> the braking distances in meters

we have

$d=0.006s^2$