Question

2. Which of the following is not a
perfect square numbers?
o 121
o 144
O 169
0 267​

Answer 1

Answer:

267

Step-by-step explanation:

121=11²

144=12²

169=13³

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Answer 2

Hi !

The answer is : 267

Step-by-step explanation:

$\sqrt{121} = 11 \\\sqrt{144} = 12 \\\sqrt{169} = 13$

So, since they have integral roots, these numbers are perfect squares.

But, 267 is a number that lies between 256[which is 16²] and 289[which is 17²], which are two perfect squares.

By the conjecture 'There lies no perfect square between two consecutive perfect squares in a number line', we can justify that 267 is not a perfect square.

Also,

$\sqrt{267} = 16.3401 [apprx.]$

which says that it is not a perfect square.

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