Question

Find the value of $${\left(105\right)}^2$$

Answer 1

Hint: In order to find the square of any number we just need to multiply the given number by itself once to get the desired answer.
$${\left(a\right)}^2=a\times a$$ where a is a real number.

Complete step-by-step answer:
Here the given number is 105.
Let $$x=105$$
Now as we know that in order to find the square of any number we just need to multiply the given number by itself once.
Therefore we have to multiply x by itself once to get its square.
Hence on multiplying we get:-
$$x^2=x\times x$$
Now putting in the value of x we get:-
$${\left(105\right)}^2=105\times 105$$
Evaluating the right hand side further we get:-
$$\Rightarrow {\left(105\right)}^2=11025$$
Hence the square of 105 is 11025
Hence the required value is 11025.

Note: Students should take a note that they can find the square of any real number.
Also they have to multiply the number by itself only once in order to get its square.
When a number in square root is multiplied by itself then it gives the number under the square root as the result.
$$\begin{gathered} {\left(\sqrt{a}\right)}^2=\sqrt{a}\times \sqrt{a} \\ =a \end{gathered}$$