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 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.
In the attached diagram you can see the graph of the function
As you can see graph is:
1. increasing from x = −2 to x = −1
2. decreasing from x = 0 to x = 1
3. decreasing and then increasing from x=1 to x=2
4. increasing from x=2 to x=4.
Answer: correct choice is B.
