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To multiply terms with radicals, multiply the coefficients and radicands separately:

8\( \sqrt{4} \) x 8\( \sqrt{3} \)
(8 x 8)\( \sqrt{4 \times 3} \)
64\( \sqrt{12} \)

Now we need to simplify the radical:

64\( \sqrt{12} \)
64\( \sqrt{3 \times 4} \)
64\( \sqrt{3 \times 2^2} \)
(64)(2)\( \sqrt{3} \)
128\( \sqrt{3} \)

If 39% of the town's 35,000 voters cast ballots the number of votes cast is:

(\( \frac{39}{100} \)) x 35,000 = \( \frac{1,365,000}{100} \) = 13,650

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 13,650 = \( \frac{764,400}{100} \) = 7,644 votes.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.