To subtract these radicals together their radicands must be the same:

4\( \sqrt{18} \) - 6\( \sqrt{2} \)
4\( \sqrt{9 \times 2} \) - 6\( \sqrt{2} \)
4\( \sqrt{3^2 \times 2} \) - 6\( \sqrt{2} \)
(4)(3)\( \sqrt{2} \) - 6\( \sqrt{2} \)
12\( \sqrt{2} \) - 6\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them:

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-2x^5}{2x^4} \)
\( \frac{-2}{2} \) x^{(5 - 4)}
-x

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 8 workers at the company now and that's enough to staff 2 crews so there are \( \frac{8}{2} \) = 4 workers on a crew. 7 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 7 x 4 = 28 total workers to staff the crews during the busy season. The company already employs 8 workers so they need to add 28 - 8 = 20 new staff for the busy season.

Latoya scored 95% on the test meaning she earned 95% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.95 = 114 points. Each question is worth 2 points so she got \( \frac{114}{2} \) = 57 questions right.