Question:

Is the square root of a number always smaller than the number itself?

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example: the square root of 4 is 2 and 2 is less than 4

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  1. Numbers between -1 and 1 will have squares smaller than themselves.

    This is because you are multiplying the given number by a number less than 1, which makes it smaller


  2. Not necessarily.  Choose a decimal.  The square root of, for example, 0.25 is .5, where .5 is larger than .25.

  3. No. The square root of a number less than one is larger! The square root of .8 is .8944.

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