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.

Answer 1

Answer: The true statements are:-

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

as 2<4

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

as square root of 0.04 is 0.2 which lie between 0 and 1.

Step-by-step explanation:

2.The square root of a positive number is always less than half of the number itself . It is not true always , for example the number is 4 then the square root of 4 =2 and it is not less than half of 4=2  .

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

It is not true ,as 0.04=$(0.2)^2$

⇒ 0.2 is the square root of the number and is not less than the number.

4 .The square root of a perfect square is not a whole number. It is not true, as 4 is a perfect square and its square root is 2 which is a whole number.

Answer 2

The answer will be the square root of a positive number greater than 1 is less than the number, and the square root of a positive number less than 1 is between 0 and 1. Hoped it help!