Simplifying Radical Expressions Worksheet
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1NAME _____________________________________________ DATE ____________________________ PERIOD _____________
10-2 Word Problem Practice
Simplifying Radical Expressions
1. SPORTS Jasmine calculated the height of her team’s
4. PHYSICAL SCIENCE When a substance such as
15
water vapor is in its gaseous state, the volume and the
soccer goal to be
feet. Simplify the expression.
√ 3
velocity of its molecules increase as temperature
increases. The average velocity V of a molecule with
mass m at temperature T is given by the formula
3����
V = √
. Solve the equation for k.
��
2. NATURE In 2010, an earthquake below the ocean
floor initiated a devastating tsunami in Sumatra.
5. GEOMETRY Suppose Emeryville
Scientists can approximate the velocity V in feet per
Hospital wants to build a new
second of a tsunami in water of depth d feet with the
helipad on which medic rescue
formula V = √ 16��. Determine the velocity of a
helicopters can land. The helipad
tsunami in 300 feet of water. Write your answer in
will be circular and made of fire
simplified radical form.
resistant rubber.
a. If the area of the helipad is A, write an equation
for the radius r.
3. AUTOMOBILES The following formula can be used
to find the “zero to sixty” time for a car, or the time it
b. Write an expression in simplified radical form for
takes for a car to accelerate from a stop to sixty miles
the radius of a helipad with an area of 288 square
per hour.
meters.
2����
V = √
��
V is the velocity in meters per second, P is the car’s
average power in watts, M is the mass of the car in
kilograms, and T is the time in seconds.
c. Using a calculator, find a decimal approximation
for the radius. Round your answer to the nearest
Find the time it takes for a 900-kilogram car with an
hundredth.
average 60,000 watts of power to accelerate from stop
to 60 miles per hour, which is 26.82 meters per
second. Round your answer to the nearest tenth.
15
Chapter 10
Glencoe Algebra 1
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