Which statements are true? Select the two correct answers.
The square root of a positive number greater than 1 is less than the number.
The square root of a positive number is always less than half of the number itself.
The square root of a positive number less than 1 is less than the number.
The square root of a perfect square is not a whole number.
The square root of a positive number less than 1 is between 0 and 1.

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Answer:

  • The square root of a positive number greater than 1 is less than the number.
  • The square root of a positive number less than 1 is between 0 and 1.

Step-by-step explanation:

The square root of a positive number is greater than the number when it is less than 1, and less than the number when it is greater than 1. Consider, for example, ...

  √9 = 3 . . . . 3 is less than 9, and a whole number

  √0.09 = 0.3 . . . . 0.3 is greater than 0.09 (and more than 0.09/2)

So, the correct statements about square roots are ...

The square root of a positive number greater than 1 is less than the number.

The square root of a positive number less than 1 is between 0 and 1.

Answer:

a and e

Step-by-step explanation:

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