What does it mean to say that? A number is a perfect square. Give one example of a number that is a perfect square and 1 that is not explain your examples. Prepare your response to the question. When you are ready, you may submit your response as an audio recording. Or as a written essay, be sure to include the following requirements. Define the term perfect square.
A perfect square is a number that can be expressed as the product of an integer multiplied by itself. In other words, it is a number that has an exact square root. For example, if we take the number 4, we can see that it is a perfect square because it can be expressed as 2 * 2. Similarly, 9 is also a perfect square since it can be expressed as 3 * 3.
On the other hand, let's consider the number 5. If we try to find the square root of 5, we get an irrational number, approximately 2.236. This means that 5 is not a perfect square as it cannot be expressed as the product of two identical integers.
In summary, a perfect square is a number that has an exact square root and can be expressed as the product of an integer multiplied by itself. An example of a perfect square is 4, while a number like 5 is not a perfect square.
Definition of perfect square: A perfect square is a non-negative integer that can be expressed as the product of two equal integers. In simpler terms, it is a number that can be obtained by squaring a whole number.
Example of a perfect square: One example of a perfect square is 16.
Explanation: To determine if a number is a perfect square, we can take the square root of the number and check if the result is a whole number. In the case of 16, the square root is 4, which is a whole number. We can also verify that 4 multiplied by itself (4 x 4) does indeed give us 16, confirming that 16 is a perfect square.
Example of a number that is not a perfect square: One example of a number that is not a perfect square is 7.
Explanation: Let's apply the same process to check if 7 is a perfect square. Taking the square root of 7 gives us a value of approximately 2.65, which is not a whole number. When we attempt to find two equal integers whose product equals 7, we realize that no such integers exist. Hence, 7 is not a perfect square.
In summary, a perfect square is a non-negative integer that can be obtained by squaring a whole number. 16 is an example of a perfect square because it can be expressed as 4 x 4, whereas 7 is not a perfect square because it cannot be expressed as the product of two equal integers.
A perfect square is a number that can be expressed as the square of an integer. In other words, if you can find an integer, let's say "n", such that when you multiply it by itself, you get the number in question, then that number is a perfect square. Mathematically, if "n^2" equals the number, then the number is a perfect square.
For example, let's consider the number 25. We can find an integer, which is 5, that satisfies the condition. If we multiply 5 by itself, we get 25. Therefore, 25 is a perfect square.
On the other hand, let's take the number 27. If we try to find an integer "n" such that "n^2" equals 27, we cannot find one. This means that 27 is not a perfect square.
To summarize, a perfect square is a number that can be expressed as the square of an integer. It is important to note that perfect squares are always non-negative numbers, as the square of a negative number would result in a positive value.