Question

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

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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.

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