Question

What is the perfect square of $32?$

Answer 1

Hint: We know that the perfect square of a number is obtained by multiplying the number with itself. We can express the perfect square mathematically as ${{x}^{2}}$ where the number is $x$ and ${{x}^{2}}=x\times x.$

Complete step by step answer:
Let us consider the given number $32.$
We are asked to find the perfect square of the given number.
We know that the perfect square or the square of a number can be found by multiplying the number with itself.
Let us suppose that $x$ is a number for which we want to find the perfect square. Then, we can say that the perfect square of $x$ is found by multiplying $x$ with $x$ and is denoted as ${{x}^{2}}.$
We call this as $x$ square.
So, as we know, the mathematical expression of the perfect square of $x$ is given by ${{x}^{2}}=x\times x.$
Now, we have the number $32$ whose perfect square is to be found.
So, we will represent the perfect square of $32$ as \[{{32}^{2}}\] and can be found by $32\times 32.$
With the help of usual multiplication, we can find the perfect square of the given number.
Then, we will get the perfect square of $32$ as ${{32}^{2}}=32\times 32=1024.$

Hence the perfect square of the given number is $1024.$

Note: We know that if a number is a perfect square of another number, then we can establish the terminology square root of the former number. And as we know, the latter is the square root of the former. Let us consider the above case. In this question, $1024$ is the perfect square of $32.$ So, $32$ is the square root of $1024.$