Mathematics
Grade10
Easy
Question
A car skidded m ft during a race. The expression s =
is the rate of speed of the car in ft/s. Find the rate of the speed of the car, if the car skidded 196 ft.
Hint:
Speed = Distance/ time.
The correct answer is: ![14 square root of 5](data:image/png;base64,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)
The expression of speed is s = √(5m) ft/s. We have to fins the speed when the car skidded 196m.
We have,
s = √(5m)
=> s = √(5 × 196)
=> s = 14√5 ft/s.
Hence, the correct option is B.
A radical expression is an expression containing a square root.