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Mathematics

The value of 182 - 172 is :

  1. 1

  2. -1

  3. 35

  4. none of the above

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

182−172=18+17=3518^2 - 17^2\\[1em] = 18 + 17\\[1em] = 35

Hence, option 3 is the correct option.

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