The length of the side of a square whose area is 784 m2 is
A
22 m
B
32 m
✓
28 m
D
18 m
Answer
Correct option: C.
28 m
(C) 28 m Let the side of the square be $\text{xm}$. $\because$ Area of square $=(\text { Side })^2$ $\begin{array}{l}\Rightarrow 784=x^2 \\\Rightarrow x=\sqrt{784} \\=\sqrt{2 \times 2 \times 2 \times 2 \times 7 \times 7} \\=28\text{ m}\end{array}$
For the number 2268, the smallest whole number by which it should be divided, so as to get a perfect square is
A
2
B
3
C
6
✓
7
Answer
Correct option: D.
7
(D) 7 Given number is 2268. using prime factorisation, we get $2268=2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 7$ Here, prime factor 7 is unpaired. It is clear that in order to get a perfect square, the given number is divided by 7.