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

6\( \sqrt{175} \) - 9\( \sqrt{7} \)
6\( \sqrt{25 \times 7} \) - 9\( \sqrt{7} \)
6\( \sqrt{5^2 \times 7} \) - 9\( \sqrt{7} \)
(6)(5)\( \sqrt{7} \) - 9\( \sqrt{7} \)
30\( \sqrt{7} \) - 9\( \sqrt{7} \)

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

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 20 workers at the company now and that's enough to staff 5 crews so there are \( \frac{20}{5} \) = 4 workers on a crew. 8 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 8 x 4 = 32 total workers to staff the crews during the busy season. The company already employs 20 workers so they need to add 32 - 20 = 12 new staff for the busy season.

By buying two shirts, Bob will save $42 x \( \frac{5}{100} \) = \( \frac{$42 x 5}{100} \) = \( \frac{$210}{100} \) = $2.10 on the second shirt.

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:

\( \sqrt{\frac{36}{4}} \)
\( \frac{\sqrt{36}}{\sqrt{4}} \)
\( \frac{\sqrt{6^2}}{\sqrt{2^2}} \)
\( \frac{6}{2} \)
3

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 $700
i = 0.02 x $700

No payments were made so the total amount due is the original amount + the accumulated interest: