Question

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.

Answer 1

a and e

Explanation:

i just did it

Answer 2

• 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.

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.