Question

The Square of a number is positive, so the cube of that number will also be positive. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

If the square of a number is positive, then it is not necessary that the cube of that number will also be positive.

Let us understand with an example:

Considering $-5$

now, square of the $-5$ i.e. ${\left(-5\right)}^2=25$

Then, the cube of the same number i.e. ${\left(-5\right)}^2=-125$

Both are not equal.

Hence, the given statement is False.