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.
\[
  {\left( {\sqrt a } \right)^2} = \sqrt a \times \sqrt a {\text{ }} \\
  {\text{ }} = a \\
 \]