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Mathematics

Evaluate:

852 - 842

Sq & Sq Roots

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Answer

According to the property of square numbers, for any natural number n,

(n+1)2−n2=(n+1)+n(n+1)^2 - n^2 = (n+1) + n

852−842=85+84=16985^2 - 84^2\\[1em] = 85 + 84\\[1em] = 169

Hence, 852−842=16985^2 - 84^2 = 169

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