Question

Which statements are true? Check all that apply

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.
Mark this and retum

Answer 1

The first and the last are correct

Explanation:

Answer 2

TRUE:

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 greater than 1 is less than the number is TRUE. Example, square root of 4 is 2.

The square root of a positive number is always less than half of the number itself is FALSE. The square root of 1/4 is 1/2. Half of 1/4 is 1/8. It does not hold true that 1/2 < 1/8.

The square root of a positive number less than 1 is less than the number is FALSE. The square root of 1/4 is 1/2 and 1/4 < 1/2, not the other way around.

The square root of a perfect square is not a whole number is FALSE by the definition of a perfect square.

The square root of a positive number less than 1 is between 0 and 1 is TRUE. See the graph of
`√(x)`.