To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

9z⁵ + 1z⁵
(9 + 1)z⁵
10z⁵

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

9\( \sqrt{8} \) + 9\( \sqrt{2} \)
9\( \sqrt{4 \times 2} \) + 9\( \sqrt{2} \)
9\( \sqrt{2^2 \times 2} \) + 9\( \sqrt{2} \)
(9)(2)\( \sqrt{2} \) + 9\( \sqrt{2} \)
18\( \sqrt{2} \) + 9\( \sqrt{2} \)

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

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:

\( \sqrt{\frac{25}{16}} \)
\( \frac{\sqrt{25}}{\sqrt{16}} \)
\( \frac{\sqrt{5^2}}{\sqrt{4^2}} \)
\( \frac{5}{4} \)
1\(\frac{1}{4}\)

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

vans = \( \frac{67}{10} \) = 6\(\frac{7}{10}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.