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

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

\( \frac{6\sqrt{16}}{3\sqrt{4}} \)
\( \frac{6}{3} \) \( \sqrt{\frac{16}{4}} \)
2 \( \sqrt{4} \)

You have 24 out of the total of 350 raffle tickets sold so you have a (\( \frac{24}{350} \)) x 100 = \( \frac{24 \times 100}{350} \) = \( \frac{2400}{350} \) = 7% chance to win the raffle.

To simplify a radical, factor out the perfect squares:

\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)

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

\( \frac{2}{8} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{8 x 6} \) = \( \frac{4}{48} \) = \(\frac{1}{12}\)