Question

Using prime factorisation, find out theperfect squares among the following.(0) 2304 (ii) 4624 (iii) 9248 (iv) 11,025Identify by mere observation, thenumbers that are not perfect squares.(1) 5184 () 12,321 (iii) 16,928 (iv) 35,623​

Answer 1

Answer:

The perfect squares are:

2304

4624

11,025

5184

12,321

35,623

The imperfect squares are:

9248

16,928

Step-by-step explanation:

By prime factorisation we get,

2304:2×2×2×2×12×12

It is a perfect square

4624:2×2×2×2×17×17

It is a perfect square

9248:2×2×2×2×2×17×17

It is not a perfect square

11,025:5×5×21×21

It is a perfect square

5184:2×2×2×2×2×2×9×9

It is a perfect square

12,321:111×111

It is a perfect square

16,928:2×2×2×2×2×23×23

It is not a perfect square

35,623:7×7×727

It is not a perfect square

HOPE IT HELPS:)