Question

What is the perfect square of $48$?

Answer 1

Hint: In this question we have been given with the number $48$ and we have to find the perfect square of the given number. We will first take a look at the definition of a perfect square and then we will use that property to find the perfect square of the given number $48$ and get the required solution.

Complete step by step solution:
We have the number given to us as $48$.
We have to find the perfect square of the number. We know that a perfect square is a number which has a whole number as its square root. Whole numbers are numbers that start from $0,1,2,3...$ and goes on continuously. The things to remember about whole numbers is that it does not constitute numbers which are in decimals, fraction or negative numbers.
We can say that $16$ is a perfect square since it has its square root as $4$, which is a whole number since it is not a negative number, a decimal number or a fraction.
Given all the properties the perfect square of $48$ will be square of the number which means the number multiplied by itself. Therefore, we get:
$\Rightarrow 48\times 48=2304$
We can see that the number $2304$ is a perfect square since it has its square root as $48$, which is a whole number.

Therefore, we can conclude that the perfect square of $48$ is $2304$, which is the required solution.

Note: The various domains of sets of numbers should be remembered. We have counting numbers which is a subset of whole numbers since it starts from $1,2,3,4....$. The set of integers also consists all of whole numbers along with the negative numbers. Real numbers consist of all the numbers including fractions, decimals and irrational numbers.