To multiply terms with radicals, multiply the coefficients and radicands separately:

3\( \sqrt{4} \) x 8\( \sqrt{9} \)
(3 x 8)\( \sqrt{4 \times 9} \)
24\( \sqrt{36} \)

Now we need to simplify the radical:

24\( \sqrt{36} \)
24\( \sqrt{6^2} \)
(24)(6)
144

You have 8 out of the total of 400 raffle tickets sold so you have a (\( \frac{8}{400} \)) x 100 = \( \frac{8 \times 100}{400} \) = \( \frac{800}{400} \) = 2% chance to win the raffle.

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).

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (4 + 4) ÷ 3 x 5 - 2²
P: 3 + (8) ÷ 3 x 5 - 2²
E: 3 + 8 ÷ 3 x 5 - 4
MD: 3 + \( \frac{8}{3} \) x 5 - 4
MD: 3 + \( \frac{40}{3} \) - 4
AS: \( \frac{9}{3} \) + \( \frac{40}{3} \) - 4
AS: \( \frac{49}{3} \) - 4
AS: \( \frac{49 - 12}{3} \)
\( \frac{37}{3} \)
12\(\frac{1}{3}\)

By buying two shirts, Bob will save $37 x \( \frac{45}{100} \) = \( \frac{$37 x 45}{100} \) = \( \frac{$1665}{100} \) = $16.65 on the second shirt.