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

2\( \sqrt{48} \) - 8\( \sqrt{3} \)
2\( \sqrt{16 \times 3} \) - 8\( \sqrt{3} \)
2\( \sqrt{4^2 \times 3} \) - 8\( \sqrt{3} \)
(2)(4)\( \sqrt{3} \) - 8\( \sqrt{3} \)
8\( \sqrt{3} \) - 8\( \sqrt{3} \)

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

The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 the greatest factor 32 and 52 have in common.

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:

\( \frac{2c^5}{6c^3} \)
\( \frac{2}{6} \) c^{(5 - 3)}
\(\frac{1}{3}\)c²

By buying two shirts, Charlie will save $34 x \( \frac{5}{100} \) = \( \frac{$34 x 5}{100} \) = \( \frac{$170}{100} \) = $1.70 on the second shirt.

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{7} \) ÷ \( \frac{3}{9} \) = \( \frac{4}{7} \) x \( \frac{9}{3} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{7} \) x \( \frac{9}{3} \) = \( \frac{4 x 9}{7 x 3} \) = \( \frac{36}{21} \) = 1\(\frac{5}{7}\)