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

6\( \sqrt{80} \) + 3\( \sqrt{5} \)
6\( \sqrt{16 \times 5} \) + 3\( \sqrt{5} \)
6\( \sqrt{4^2 \times 5} \) + 3\( \sqrt{5} \)
(6)(4)\( \sqrt{5} \) + 3\( \sqrt{5} \)
24\( \sqrt{5} \) + 3\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{52}{15} \) = 3\(\frac{7}{15}\)

So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.

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).

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,000
i = 0.01 x $1,000
i = $10

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).