Question

which among the following is a perfect square?

a)4088361
b)4088844
c)4088484
d)4088472

Answer 1

Answer:

196=2×2×7×7=(2×7)  

2

=(14)  

2

 

Hence 196 is perfect square of 14.

Answer 2

Find the perfect square among the following numbers.

Explanation:

• To determine which of the following number is a perfect square we can expand it in the powers of prime factors.
• The number will be a perfect square if the powers in the expansion are even (that is a multiple of two) for each of the individual prime factors.  
• First, we have the number (a) $4088361$ -> $4088361= 3x1362787$  hence (a) is not a perfect square.
• Next, we have the number (b) $4088844$ -> $4088844= 2x2x3x3x53x2143$  hence (b) is not a perfect square.
• Next, we have the number (c) $4088484$ $->4088484=2x2x3x3x337x337=(2x3x337)^2=2022^2$          
• Hence the number (c)$4088484$ is a perfect square.