Evaluate 64.764\(^2\) - 35.236\(^2\) correct to 3 significant figures

  • A 2960
  • B 2950
  • C 2860
  • D 2850

The correct answer is B. 2950

Using the difference of squares formula to evaluate this expression.

The difference of squares formula states that for any two numbers a and b, (a^2 - b^2) = (a + b)(a - b).

In this case, we have a = 64.764 and b = 35.236. Applying the difference of squares formula, we get:

64.764^2 - 35.236^2 = (64.764 + 35.236)(64.764 - 35.236)

= 100 29.528

= 2952.8

Rounded to 3 significant figures, this value is 2950

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