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

6\( \sqrt{8} \) - 8\( \sqrt{2} \)
6\( \sqrt{4 \times 2} \) - 8\( \sqrt{2} \)
6\( \sqrt{2^2 \times 2} \) - 8\( \sqrt{2} \)
(6)(2)\( \sqrt{2} \) - 8\( \sqrt{2} \)
12\( \sqrt{2} \) - 8\( \sqrt{2} \)

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

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

b⁴ x 5b⁴
(1 x 5)b^{(4 + 4)}
5b⁸

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

You have 18 out of the total of 200 raffle tickets sold so you have a (\( \frac{18}{200} \)) x 100 = \( \frac{18 \times 100}{200} \) = \( \frac{1800}{200} \) = 9% chance to win the raffle.

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

\( \frac{4}{6} \) ÷ \( \frac{1}{7} \) = \( \frac{4}{6} \) x \( \frac{7}{1} \)

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

\( \frac{4}{6} \) x \( \frac{7}{1} \) = \( \frac{4 x 7}{6 x 1} \) = \( \frac{28}{6} \) = 4\(\frac{2}{3}\)