find the smallest no that should be added to the following numbers to get a perfect square. find the square root of the following. 34120
Answers
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=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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