Question

b. find the smallest number that needs to be added to the numbers to get a perfect square. Also, find the square root of this perfect square. a)273.3225​

Answer 1

Answer:

(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=

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