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i) **4931 **

4900 < 4931

⇒ 70 < sq root of 4931

5041 > 4931

⇒ 71 > sq root of 4931

⇒ 5041 is the perfect square nearest to 4931.

⇒ 5041 – 4931 = 110 is the number to be added.

∴ 110 is the least number to be added to 4931 to make it a perfect square.

ii) **2361 **

2500 > 2361

⇒ 50 > sq root of 2361

2401 >2361

⇒ 49 > sq root of 2361

2304 < 2361

⇒ 48 < sq root of 2361

∴ 2401 is the perfect square nearest to 2361.

∴ 2401 – 2361 = 40 is the number to be added.

∴ 40 is the least number to be added to 2361 to make it a perfect square.

iii) **18265 **

18225 < 18265

⇒ 135 < sq root of 18265

18496 > 18265

⇒ 136 > sq root of 18265

⇒ 18496 is the perfect square nearest to 18265.

⇒ 18496 – 18265 = 231 is the number to be added to 18265.

∴ **231** is the least number to be added to **18265 **to make it a perfect square.

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