Question

Simplify ${\left( {\dfrac{7}{2}} \right)^2}$

Answer 1

Hint: According to given in the question to solve simplify ${\left( {\dfrac{7}{2}} \right)^2}$ first of all we have to use the formula as given below:
${(a)^2} = a \times a...............(1)$
So with the help of the formula (1) we can simplify ${\left( {\dfrac{7}{2}} \right)^2}$

Complete step by step answer:
Step 1: First of all to simplify the given ${\left( {\dfrac{7}{2}} \right)^2}$ we have to use the formula (1) as mentioned in the solution hint.
Step 2: On applying the formula (1)
$ \Rightarrow {\left( {\dfrac{7}{2}} \right)^2} = \dfrac{7}{2} \times \dfrac{7}{2}$
Step 3: Now, after multiplication we can simplify the given expression.
$ \Rightarrow {\left( {\dfrac{7}{2}} \right)^2} = \dfrac{{49}}{4}$ or $12.25$

Hence, with the help of the formula (1) we have simplified $ \Rightarrow {\left( {\dfrac{7}{2}} \right)^2} = \dfrac{{49}}{4}$ or $12.25$

Note:
It’s a simple multiplication which can be solved by just opening the square and multiplying the terms given.
Square of a given number can be simplified or obtained by multiplying it’s terms twice by itself.