How many non perfect squares lie between 21 and 22
Answers
Given : 21² and 22²
Correction in Question 21 and 22 should be 21² and 22²
To Find: number of non-perfect square between
Solution:
441 = 21²
484 = 22²
Number of non-perfect square between n² and (n + 1)²
is given by by 2n
Hence umber of non-perfect square between 21² and 22²
= 2(21)
= 42
number of non-perfect square between 441 and 484 is 42
from 442 to 483
numbers can be found using AP
a = 442 , last term = 483 , d = 1
483 = 442 + (n - 1) 1
=> 41 = n - 1
=> n = 42
if Question is considered 21 and 22 , there does not exist any integers between them hence there are no non perfect squares between .
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