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APPROXIMATING RADICALS
(no MathPlayer required version)

Jump right to the exercises!

Some examples are given below.
For a complete discussion of the concepts, read the text.
Click here for a MathPlayer version of this exercise (that uses correct mathematical notation)!
Here, you will practice with radicals that don't come out "nicely".
Find the two closest integers between which the given radical lies.
Do not use the square root or cube root keys on a calculator.

EXAMPLES:
the square root of  7  lies between  2  and  3
the cube root of  29  lies between  3  and  4
the cube root of  -12  lies between  -3  and  -2
You must list the integers from least (farthest left) to greatest (farthest right).
 
Click on "new problem" to get started!


the number

lies between
  and  




When you're ready to time yourself, use these buttons.
When you "end timing," you'll get a summary sheet of your results. Good luck!