Question

FIND THE SMALLEST NUMBER WHICH MUST BE ADDED TO THE FOLLOWING NUMBERS SO AS TO OBTAIN A PERFECT SQUARE:

A. 18265

Answer 1

Step-by-step explanation:

i) 2361

2500>2361

⇒50>

2361

2401>2361

⇒49>

2361

2304<2361

⇒48<

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.

(ii) 4931

4900<4931

⇒70<

4931

5041>4931

⇒71>

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.

(iii) 18265

18225<18265

⇒135<

18265

18496>18265

⇒136>

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.

(iv) 390700

390625<390700

⇒625<

390700

391876>390700

⇒626>

390700

⇒391876 is the perfect square nearest to 390700.

⇒391876−390700=1176 is the number to be added to 390700.

∴1176 is the least number to be added to 390700 to make it a perfect square.

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