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The number of non-square numbers between 872^22​ and 882^22​ is:
Question

The number of non-square numbers between 872^2​ and 882^2​ is:

A.

174

B.

164

C.

184

D.

154

Correct option is A

Given:

We need to find the number of non-square numbers between 872^2​ and 882^2​​

Concept Used:

The number of natural numbers between n2^2​ and (n+1)2^2​ is

(n+1)2n21^2 - n^2 - 1​ = 2n

Solution:

Non-square numbers between  872^2​ and 882=2×87^2 = 2 \times 87​ = 174

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