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Simplify the following: (8 + √5)(8 - √5) (a) 49 (b) 63 (c) 57 (d) 1

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The given expression can be interpreted in the form (a + b)(a - b).

From algebra, we know that formula for the difference of squares, (a + b)(a - b), is a^2 - b^2. Here, a represents the first term of the binomial and b the second.

In our compressed expression, 8 is a and √5 is b. Now we can substitute these values into the difference of square formula.

That would result in a calculation of (8 * 8) - (√5 * √5), which becomes 64 - 5 after simplification.

So, based on this calculation, the correct answer to the expression (8 + √5)(8 - √5) is 59. Thus, none of the provided options (a, b, c, d) is correct.

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