Question

The area of square field is 5184m

2

. Find the sides of a square.​

Answer 1

Answer:

$area \: of \: square \: is \: = \: side \times side \\ \\ 26873856$

Answer 2

Area of square = Side²

Area of square = 5184m²

Side of square = √5184

To find the square root of a number we have two methods. They are namely - (But I am only mentioning one)

• Prime Factorisation
• Long Division Method

Prime Factorization

First we do prime factorisation to find the product of primes.

$\begin{array}{r | l} 2 & 5184 \\ \cline{2-2} 2 & 2592 \\ \cline{2-2} 2 & 1296 \\ \cline{2-2} 2 & 648\\ \cline{2-2} 2 & 324\\ \cline{2-2} 2 & 162\\ \cline{2-2} 3 & 81\\ \cline{2-2} 3 & 27\\ \cline{2-2} 3 & 9\\ \cline{2-2} 3 & 3 \\ \cline{2-2} & 1\\ \end{array}$

5184 ⇒ (2×2)×(2×2)×(2×2)×(3×3)×(3×3)

To find the root we will take one number from each pair and multiply.

√5184 ⇒ 2×2×2×3×3 = 72

So, therefore, the side of the square is equal to 72m.