A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

If a single cook can bake 5 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 5 x 2 = 10 large cakes during that time. 35 large cakes are needed for the party so \( \frac{35}{10} \) = 3\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 20 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 20 x 2 = 40 small cakes during that time. 200 small cakes are needed for the party so \( \frac{200}{40} \) = 5 cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 5 = 9 cooks.

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

\( \frac{14\sqrt{10}}{2\sqrt{5}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{10}{5}} \)
7 \( \sqrt{2} \)

To simplify a radical, factor out the perfect squares:

\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.