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

\( \frac{40\sqrt{32}}{8\sqrt{8}} \)
\( \frac{40}{8} \) \( \sqrt{\frac{32}{8}} \)
5 \( \sqrt{4} \)

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.

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)

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

4\( \sqrt{8} \) x 7\( \sqrt{9} \)
(4 x 7)\( \sqrt{8 \times 9} \)
28\( \sqrt{72} \)

Now we need to simplify the radical:

28\( \sqrt{72} \)
28\( \sqrt{2 \times 36} \)
28\( \sqrt{2 \times 6^2} \)
(28)(6)\( \sqrt{2} \)
168\( \sqrt{2} \)

There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 12 people needing transportation leaving 12 - 10 = 2 who will have to find other transportation.