Question 142531: which point on a number line best represtents the squar root of three
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! which point on a number line best represents the square root of three?
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You will need a protractor to draw the arc of a circle.
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Draw a number line and mark two points: x=0 and x=1
Draw a perpendicular at x=1 that is as long as the
distance from 0 to 1.
Connect x=0 to the top of that perpendicular.
The distance from 0 to the top is sqrt(2).
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Using the 0-point as center and radius = sqrt(2),
draw an arc of a circle from the top of the perpendicular
down to the number line.
Where the arc touches the number line is the sqrt(2) point.
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Draw a perpendicular at the point that is "one" high.
Draw the line segment from x=0 to the top of that
perpendicular.
The length of that line segment is sqrt(3).
Using the 0-point as center and radius = sqrt(3),
draw an arc of a circle from the top of the perpendicular
to the number line.
Where the arc touches the number line is the sqrt(3) point.
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Cheers,
Stan H.
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